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Finding the Fourth Proportional to 1,147.93, 1,721.17 and 781.60

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Solution

The fourth proportional to 1,147.93, 1,721.17 and 781.60 is: 1,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.93 : 1,721.17 = 781.60 : x
  2. Step 2: Convert to fraction form
    1,147.93/1,721.17 = 781.60/x
  3. Step 3: Cross multiply
    1,147.93x = 1,721.17 × 781.60
  4. Step 4: Simplify right side
    1,147.93x = 1,345,266.47
  5. Step 5: Solve for x
    x = 1,345,266.47/1,147.93
  6. Step 6: Final answer
    x = 1,171.91

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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.