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Finding the Fourth Proportional to 680.07, 938.76 and 532.11

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Solution

The fourth proportional to 680.07, 938.76 and 532.11 is: 734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.07 : 938.76 = 532.11 : x
  2. Step 2: Convert to fraction form
    680.07/938.76 = 532.11/x
  3. Step 3: Cross multiply
    680.07x = 938.76 × 532.11
  4. Step 4: Simplify right side
    680.07x = 499,523.58
  5. Step 5: Solve for x
    x = 499,523.58/680.07
  6. Step 6: Final answer
    x = 734.52

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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.