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Finding the Fourth Proportional to 1,147.39, 1,721.08 and 781.27

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Solution

The fourth proportional to 1,147.39, 1,721.08 and 781.27 is: 1,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.39 : 1,721.08 = 781.27 : x
  2. Step 2: Convert to fraction form
    1,147.39/1,721.08 = 781.27/x
  3. Step 3: Cross multiply
    1,147.39x = 1,721.08 × 781.27
  4. Step 4: Simplify right side
    1,147.39x = 1,344,628.17
  5. Step 5: Solve for x
    x = 1,344,628.17/1,147.39
  6. Step 6: Final answer
    x = 1,171.90

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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.