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Finding the Fourth Proportional to 498.92, 686.76 and 462.47

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Solution

The fourth proportional to 498.92, 686.76 and 462.47 is: 636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 686.76 = 462.47 : x
  2. Step 2: Convert to fraction form
    498.92/686.76 = 462.47/x
  3. Step 3: Cross multiply
    498.92x = 686.76 × 462.47
  4. Step 4: Simplify right side
    498.92x = 317,605.90
  5. Step 5: Solve for x
    x = 317,605.90/498.92
  6. Step 6: Final answer
    x = 636.59

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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.