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Finding the Fourth Proportional to 634.57, 875.75 and 385.90

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Solution

The fourth proportional to 634.57, 875.75 and 385.90 is: 532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.57 : 875.75 = 385.90 : x
  2. Step 2: Convert to fraction form
    634.57/875.75 = 385.90/x
  3. Step 3: Cross multiply
    634.57x = 875.75 × 385.90
  4. Step 4: Simplify right side
    634.57x = 337,947.81
  5. Step 5: Solve for x
    x = 337,947.81/634.57
  6. Step 6: Final answer
    x = 532.56

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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.