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Finding the Fourth Proportional to 747.92, 1,032.36 and 723.60

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Solution

The fourth proportional to 747.92, 1,032.36 and 723.60 is: 998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,032.36 = 723.60 : x
  2. Step 2: Convert to fraction form
    747.92/1,032.36 = 723.60/x
  3. Step 3: Cross multiply
    747.92x = 1,032.36 × 723.60
  4. Step 4: Simplify right side
    747.92x = 747,015.70
  5. Step 5: Solve for x
    x = 747,015.70/747.92
  6. Step 6: Final answer
    x = 998.79

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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.