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Finding the Fourth Proportional to 1,099.43, 1,517.77 and 747.22

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Solution

The fourth proportional to 1,099.43, 1,517.77 and 747.22 is: 1,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.43 : 1,517.77 = 747.22 : x
  2. Step 2: Convert to fraction form
    1,099.43/1,517.77 = 747.22/x
  3. Step 3: Cross multiply
    1,099.43x = 1,517.77 × 747.22
  4. Step 4: Simplify right side
    1,099.43x = 1,134,108.10
  5. Step 5: Solve for x
    x = 1,134,108.10/1,099.43
  6. Step 6: Final answer
    x = 1,031.54

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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.