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Finding the Fourth Proportional to 463.47, 691.07 and 457.80

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Solution

The fourth proportional to 463.47, 691.07 and 457.80 is: 682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.47 : 691.07 = 457.80 : x
  2. Step 2: Convert to fraction form
    463.47/691.07 = 457.80/x
  3. Step 3: Cross multiply
    463.47x = 691.07 × 457.80
  4. Step 4: Simplify right side
    463.47x = 316,372.99
  5. Step 5: Solve for x
    x = 316,372.99/463.47
  6. Step 6: Final answer
    x = 682.62

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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.