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Finding the Fourth Proportional to 1,120.46, 1,545.87 and 747.50

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Solution

The fourth proportional to 1,120.46, 1,545.87 and 747.50 is: 1,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.46 : 1,545.87 = 747.50 : x
  2. Step 2: Convert to fraction form
    1,120.46/1,545.87 = 747.50/x
  3. Step 3: Cross multiply
    1,120.46x = 1,545.87 × 747.50
  4. Step 4: Simplify right side
    1,120.46x = 1,155,541.69
  5. Step 5: Solve for x
    x = 1,155,541.69/1,120.46
  6. Step 6: Final answer
    x = 1,031.31

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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.