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Fitness Tools | Body Composition Equations

Sites (4): Triceps, biceps, subscapular, suprailiac

Appropriate use: General population, all ages. Most widely validated across diverse populations.

Method: Calculates body density from the log of the sum of four skinfolds, using age- and sex-specific coefficients. Body density is then converted to body fat percentage using a secondary equation (typically Siri).

Density formula: D = C - (M * log10(sum_of_4_skinfolds)) where C and M are age- and sex-specific constants.

Age brackets (male):

AgeCM
< 171.15330.0643
17-191.16200.0630
20-291.16310.0632
30-391.14220.0544
40-491.16200.0700
50+1.17150.0779

Age brackets (female):

AgeCM
< 171.13690.0598
17-191.15490.0678
20-291.15990.0717
30-391.14230.0632
40-491.13330.0612
50+1.13390.0645

Sites (7): Chest, axilla, tricep, subscapular, abdominal, suprailiac, thigh

Appropriate use: Most comprehensive assessment. Best for trained individuals and research settings where maximum accuracy is needed.

Method: Uses sum of 7 skinfolds with quadratic and age terms.

Male: D = 1.112 - (0.00043499 * S) + (0.00000055 * S²) - (0.00028826 * age) Female: D = 1.097 - (0.00046971 * S) + (0.00000056 * S²) - (0.00012828 * age)

where S = sum of 7 skinfolds (mm).


Sites (4): Abdominal, triceps, thigh, suprailiac

Appropriate use: Simplified alternative when 7-site measurement is impractical. Directly calculates body fat percentage (no intermediate density step).

Male: BF% = (0.29288 * S) - (0.0005 * S²) + (0.15845 * age) - 5.76377 Female: BF% = (0.29669 * S) - (0.00043 * S²) + (0.02963 * age) + 1.4072

where S = sum of 4 skinfolds (mm).


Sites (3): Chest, triceps, subscapular (male) OR triceps, thigh, suprailiac (female)

Appropriate use: Quick assessment when fewer measurement sites are available. Sex-specific site selection.

Male: D = 1.10938 - (0.0008267 * S) + (0.0000055 * S²) - (0.000244 * age) Female: D = 1.0994921 - (0.0009929 * S) + (0.0000023 * S²) - (0.0001392 * age)

where S = sum of 3 skinfolds (mm).


All take body density (g/cm³) as input and return body fat percentage.

EquationFormulaBest For
Siri (1961)(495 / D) - 450General population (default)
Brozek (1963)(457 / D) - 414.2General population
Schutte (1984)(437.4 / D) - 392.8Black males
Wagner (1996)(486 / D) - 439Black females
Ortiz (1992)(483.2 / D) - 436.9Hispanic populations

Note: Siri is the most commonly used default. Population-specific equations (Schutte, Wagner, Ortiz) may provide better accuracy for specific demographics.