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Finding the Fourth Proportional to 739.52, 1,105.22 and 681.14

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Solution

The fourth proportional to 739.52, 1,105.22 and 681.14 is: 1,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.52 : 1,105.22 = 681.14 : x
  2. Step 2: Convert to fraction form
    739.52/1,105.22 = 681.14/x
  3. Step 3: Cross multiply
    739.52x = 1,105.22 × 681.14
  4. Step 4: Simplify right side
    739.52x = 752,809.55
  5. Step 5: Solve for x
    x = 752,809.55/739.52
  6. Step 6: Final answer
    x = 1,017.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.