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Finding the Fourth Proportional to 781.82, 1,078.87 and 432.50

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Solution

The fourth proportional to 781.82, 1,078.87 and 432.50 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.82 : 1,078.87 = 432.50 : x
  2. Step 2: Convert to fraction form
    781.82/1,078.87 = 432.50/x
  3. Step 3: Cross multiply
    781.82x = 1,078.87 × 432.50
  4. Step 4: Simplify right side
    781.82x = 466,611.28
  5. Step 5: Solve for x
    x = 466,611.28/781.82
  6. Step 6: Final answer
    x = 596.83

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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.