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Finding the Fourth Proportional to 1,067.72, 1,599.41 and 759.92

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Solution

The fourth proportional to 1,067.72, 1,599.41 and 759.92 is: 1,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.72 : 1,599.41 = 759.92 : x
  2. Step 2: Convert to fraction form
    1,067.72/1,599.41 = 759.92/x
  3. Step 3: Cross multiply
    1,067.72x = 1,599.41 × 759.92
  4. Step 4: Simplify right side
    1,067.72x = 1,215,417.55
  5. Step 5: Solve for x
    x = 1,215,417.55/1,067.72
  6. Step 6: Final answer
    x = 1,138.34

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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.