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Finding the Fourth Proportional to 747.43, 1,119.41 and 721.48

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Solution

The fourth proportional to 747.43, 1,119.41 and 721.48 is: 1,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.43 : 1,119.41 = 721.48 : x
  2. Step 2: Convert to fraction form
    747.43/1,119.41 = 721.48/x
  3. Step 3: Cross multiply
    747.43x = 1,119.41 × 721.48
  4. Step 4: Simplify right side
    747.43x = 807,622.72
  5. Step 5: Solve for x
    x = 807,622.72/747.43
  6. Step 6: Final answer
    x = 1,080.53

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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.