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Finding the Fourth Proportional to 1,067.55, 1,600.26 and 742.23

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Solution

The fourth proportional to 1,067.55, 1,600.26 and 742.23 is: 1,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.55 : 1,600.26 = 742.23 : x
  2. Step 2: Convert to fraction form
    1,067.55/1,600.26 = 742.23/x
  3. Step 3: Cross multiply
    1,067.55x = 1,600.26 × 742.23
  4. Step 4: Simplify right side
    1,067.55x = 1,187,758.20
  5. Step 5: Solve for x
    x = 1,187,758.20/1,067.55
  6. Step 6: Final answer
    x = 1,112.61

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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.