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Finding the Fourth Proportional to 726.39, 1,082.02 and 716.85

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Solution

The fourth proportional to 726.39, 1,082.02 and 716.85 is: 1,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.39 : 1,082.02 = 716.85 : x
  2. Step 2: Convert to fraction form
    726.39/1,082.02 = 716.85/x
  3. Step 3: Cross multiply
    726.39x = 1,082.02 × 716.85
  4. Step 4: Simplify right side
    726.39x = 775,644.24
  5. Step 5: Solve for x
    x = 775,644.24/726.39
  6. Step 6: Final answer
    x = 1,067.81

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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.