Finding the Fourth Proportional to 75.44, 113 and 74.62
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Solution
The fourth proportional to 75.44, 113 and 74.62 is: 111.77
Step by Step Solution
- Step 1: Write the proportion equation
75.44 : 113 = 74.62 : x - Step 2: Convert to fraction form
75.44/113 = 74.62/x - Step 3: Cross multiply
75.44x = 113 × 74.62 - Step 4: Simplify right side
75.44x = 8,432.06 - Step 5: Solve for x
x = 8,432.06/75.44 - Step 6: Final answer
x = 111.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.