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Finding the Fourth Proportional to 721.96, 1,080.75 and 396.34

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Solution

The fourth proportional to 721.96, 1,080.75 and 396.34 is: 593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.96 : 1,080.75 = 396.34 : x
  2. Step 2: Convert to fraction form
    721.96/1,080.75 = 396.34/x
  3. Step 3: Cross multiply
    721.96x = 1,080.75 × 396.34
  4. Step 4: Simplify right side
    721.96x = 428,344.46
  5. Step 5: Solve for x
    x = 428,344.46/721.96
  6. Step 6: Final answer
    x = 593.31

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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.