Finding the Fourth Proportional to 565.67, 781.16 and 534.99
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Solution
The fourth proportional to 565.67, 781.16 and 534.99 is: 738.79
Step by Step Solution
- Step 1: Write the proportion equation
565.67 : 781.16 = 534.99 : x - Step 2: Convert to fraction form
565.67/781.16 = 534.99/x - Step 3: Cross multiply
565.67x = 781.16 × 534.99 - Step 4: Simplify right side
565.67x = 417,912.79 - Step 5: Solve for x
x = 417,912.79/565.67 - Step 6: Final answer
x = 738.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.