Finding the Fourth Proportional to 523.62, 722.33 and 313.70
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Solution
The fourth proportional to 523.62, 722.33 and 313.70 is: 432.74
Step by Step Solution
- Step 1: Write the proportion equation
523.62 : 722.33 = 313.70 : x - Step 2: Convert to fraction form
523.62/722.33 = 313.70/x - Step 3: Cross multiply
523.62x = 722.33 × 313.70 - Step 4: Simplify right side
523.62x = 226,593.63 - Step 5: Solve for x
x = 226,593.63/523.62 - Step 6: Final answer
x = 432.74
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.