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Finding the Fourth Proportional to 634.48, 875.33 and 385.71

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Solution

The fourth proportional to 634.48, 875.33 and 385.71 is: 532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 875.33 = 385.71 : x
  2. Step 2: Convert to fraction form
    634.48/875.33 = 385.71/x
  3. Step 3: Cross multiply
    634.48x = 875.33 × 385.71
  4. Step 4: Simplify right side
    634.48x = 337,625.78
  5. Step 5: Solve for x
    x = 337,625.78/634.48
  6. Step 6: Final answer
    x = 532.13

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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.