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Finding the Fourth Proportional to 502.29, 748.17 and 495.99

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Solution

The fourth proportional to 502.29, 748.17 and 495.99 is: 738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.29 : 748.17 = 495.99 : x
  2. Step 2: Convert to fraction form
    502.29/748.17 = 495.99/x
  3. Step 3: Cross multiply
    502.29x = 748.17 × 495.99
  4. Step 4: Simplify right side
    502.29x = 371,084.84
  5. Step 5: Solve for x
    x = 371,084.84/502.29
  6. Step 6: Final answer
    x = 738.79

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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.