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Finding the Fourth Proportional to 462.17, 691.90 and 458.53

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Solution

The fourth proportional to 462.17, 691.90 and 458.53 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.17 : 691.90 = 458.53 : x
  2. Step 2: Convert to fraction form
    462.17/691.90 = 458.53/x
  3. Step 3: Cross multiply
    462.17x = 691.90 × 458.53
  4. Step 4: Simplify right side
    462.17x = 317,256.91
  5. Step 5: Solve for x
    x = 317,256.91/462.17
  6. Step 6: Final answer
    x = 686.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.