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Finding the Fourth Proportional to 1,115.97, 1,540.25 and 667.87

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Solution

The fourth proportional to 1,115.97, 1,540.25 and 667.87 is: 921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.97 : 1,540.25 = 667.87 : x
  2. Step 2: Convert to fraction form
    1,115.97/1,540.25 = 667.87/x
  3. Step 3: Cross multiply
    1,115.97x = 1,540.25 × 667.87
  4. Step 4: Simplify right side
    1,115.97x = 1,028,686.77
  5. Step 5: Solve for x
    x = 1,028,686.77/1,115.97
  6. Step 6: Final answer
    x = 921.79

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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.