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Finding the Fourth Proportional to 747.62, 1,120.39 and 649.92

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Solution

The fourth proportional to 747.62, 1,120.39 and 649.92 is: 973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.62 : 1,120.39 = 649.92 : x
  2. Step 2: Convert to fraction form
    747.62/1,120.39 = 649.92/x
  3. Step 3: Cross multiply
    747.62x = 1,120.39 × 649.92
  4. Step 4: Simplify right side
    747.62x = 728,163.87
  5. Step 5: Solve for x
    x = 728,163.87/747.62
  6. Step 6: Final answer
    x = 973.98

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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.