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Finding the Fourth Proportional to 1,139.22, 1,572.07 and 691.20

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Solution

The fourth proportional to 1,139.22, 1,572.07 and 691.20 is: 953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.22 : 1,572.07 = 691.20 : x
  2. Step 2: Convert to fraction form
    1,139.22/1,572.07 = 691.20/x
  3. Step 3: Cross multiply
    1,139.22x = 1,572.07 × 691.20
  4. Step 4: Simplify right side
    1,139.22x = 1,086,614.78
  5. Step 5: Solve for x
    x = 1,086,614.78/1,139.22
  6. Step 6: Final answer
    x = 953.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.