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Finding the Fourth Proportional to 781.38, 1,077.75 and 532.32

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Solution

The fourth proportional to 781.38, 1,077.75 and 532.32 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,077.75 = 532.32 : x
  2. Step 2: Convert to fraction form
    781.38/1,077.75 = 532.32/x
  3. Step 3: Cross multiply
    781.38x = 1,077.75 × 532.32
  4. Step 4: Simplify right side
    781.38x = 573,707.88
  5. Step 5: Solve for x
    x = 573,707.88/781.38
  6. Step 6: Final answer
    x = 734.22

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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.