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Finding the Fourth Proportional to 498.24, 686.28 and 462.80

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Solution

The fourth proportional to 498.24, 686.28 and 462.80 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 686.28 = 462.80 : x
  2. Step 2: Convert to fraction form
    498.24/686.28 = 462.80/x
  3. Step 3: Cross multiply
    498.24x = 686.28 × 462.80
  4. Step 4: Simplify right side
    498.24x = 317,610.38
  5. Step 5: Solve for x
    x = 317,610.38/498.24
  6. Step 6: Final answer
    x = 637.46

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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.