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Finding the Fourth Proportional to 532.17, 734.01 and 392.75

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Solution

The fourth proportional to 532.17, 734.01 and 392.75 is: 541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 734.01 = 392.75 : x
  2. Step 2: Convert to fraction form
    532.17/734.01 = 392.75/x
  3. Step 3: Cross multiply
    532.17x = 734.01 × 392.75
  4. Step 4: Simplify right side
    532.17x = 288,282.25
  5. Step 5: Solve for x
    x = 288,282.25/532.17
  6. Step 6: Final answer
    x = 541.71

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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.