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Finding the Fourth Proportional to 781.55, 1,171.15 and 712.39

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Solution

The fourth proportional to 781.55, 1,171.15 and 712.39 is: 1,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.55 : 1,171.15 = 712.39 : x
  2. Step 2: Convert to fraction form
    781.55/1,171.15 = 712.39/x
  3. Step 3: Cross multiply
    781.55x = 1,171.15 × 712.39
  4. Step 4: Simplify right side
    781.55x = 834,319.24
  5. Step 5: Solve for x
    x = 834,319.24/781.55
  6. Step 6: Final answer
    x = 1,067.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.