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Finding the Fourth Proportional to 781.05, 1,076.96 and 532.52

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Solution

The fourth proportional to 781.05, 1,076.96 and 532.52 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.05 : 1,076.96 = 532.52 : x
  2. Step 2: Convert to fraction form
    781.05/1,076.96 = 532.52/x
  3. Step 3: Cross multiply
    781.05x = 1,076.96 × 532.52
  4. Step 4: Simplify right side
    781.05x = 573,497.35
  5. Step 5: Solve for x
    x = 573,497.35/781.05
  6. Step 6: Final answer
    x = 734.26

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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.