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Finding the Fourth Proportional to 463.31, 635.72 and 458.96

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Solution

The fourth proportional to 463.31, 635.72 and 458.96 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.31 : 635.72 = 458.96 : x
  2. Step 2: Convert to fraction form
    463.31/635.72 = 458.96/x
  3. Step 3: Cross multiply
    463.31x = 635.72 × 458.96
  4. Step 4: Simplify right side
    463.31x = 291,766.87
  5. Step 5: Solve for x
    x = 291,766.87/463.31
  6. Step 6: Final answer
    x = 629.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.