Ratio and Proportion — Formula Sheet
ICSE · Class 7 · Mathematics
14 formulas from Ratio and Proportion (ICSE Class 7 Mathematics) on one page, grouped by topic. Part of the ICSE Class 7 Mathematics syllabus.
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Formulas and Key Relations
Ratio
a : b = a/b
6 : 8 = (6 ÷ 2) : (8 ÷ 2) = 3 : 4
3 : 4 = 3/4
If each term of a ratio is multiplied or divided by the same non-zero number, the ratio remains the same.
Sharing in a Ratio
Share = (part of ratio / total parts) × total quantity
2 : 3 => total parts = 2 + 3 = 5
Proportion
When four quantities are so related that the ratio between the first and the second quantities is equal to the ratio between the third and the fourth
Product of extremes = Product of means
3 : 4 = 18 : x => 3 × x = 4 × 18
12 : 30 = 30 : x => 12 × x = 30 × 30
Continued Proportion
a : b = b : c
b^2 = ac
b = sqrt(ac)
a : b and b : c to a : c = (a/b) × (b/c) = a/c
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