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Finding the Fourth Proportional to 458.97, 634.86 and 385.17

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Solution

The fourth proportional to 458.97, 634.86 and 385.17 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.97 : 634.86 = 385.17 : x
  2. Step 2: Convert to fraction form
    458.97/634.86 = 385.17/x
  3. Step 3: Cross multiply
    458.97x = 634.86 × 385.17
  4. Step 4: Simplify right side
    458.97x = 244,529.03
  5. Step 5: Solve for x
    x = 244,529.03/458.97
  6. Step 6: Final answer
    x = 532.78

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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.