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Finding the Fourth Proportional to 634.32, 875.16 and 385.68

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Solution

The fourth proportional to 634.32, 875.16 and 385.68 is: 532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.32 : 875.16 = 385.68 : x
  2. Step 2: Convert to fraction form
    634.32/875.16 = 385.68/x
  3. Step 3: Cross multiply
    634.32x = 875.16 × 385.68
  4. Step 4: Simplify right side
    634.32x = 337,531.71
  5. Step 5: Solve for x
    x = 337,531.71/634.32
  6. Step 6: Final answer
    x = 532.12

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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.