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Finding the Fourth Proportional to 491.28, 731.82 and 463.92

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Solution

The fourth proportional to 491.28, 731.82 and 463.92 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.28 : 731.82 = 463.92 : x
  2. Step 2: Convert to fraction form
    491.28/731.82 = 463.92/x
  3. Step 3: Cross multiply
    491.28x = 731.82 × 463.92
  4. Step 4: Simplify right side
    491.28x = 339,505.93
  5. Step 5: Solve for x
    x = 339,505.93/491.28
  6. Step 6: Final answer
    x = 691.06

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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.