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Finding the Fourth Proportional to 532.38, 734.48 and 392.83

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Solution

The fourth proportional to 532.38, 734.48 and 392.83 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 734.48 = 392.83 : x
  2. Step 2: Convert to fraction form
    532.38/734.48 = 392.83/x
  3. Step 3: Cross multiply
    532.38x = 734.48 × 392.83
  4. Step 4: Simplify right side
    532.38x = 288,525.78
  5. Step 5: Solve for x
    x = 288,525.78/532.38
  6. Step 6: Final answer
    x = 541.95

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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.