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Finding the Fourth Proportional to 502.71, 748.63 and 471.57

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Solution

The fourth proportional to 502.71, 748.63 and 471.57 is: 702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 748.63 = 471.57 : x
  2. Step 2: Convert to fraction form
    502.71/748.63 = 471.57/x
  3. Step 3: Cross multiply
    502.71x = 748.63 × 471.57
  4. Step 4: Simplify right side
    502.71x = 353,030.27
  5. Step 5: Solve for x
    x = 353,030.27/502.71
  6. Step 6: Final answer
    x = 702.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.