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Finding the Fourth Proportional to 721.20, 994.83 and 426.42

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Solution

The fourth proportional to 721.20, 994.83 and 426.42 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.20 : 994.83 = 426.42 : x
  2. Step 2: Convert to fraction form
    721.20/994.83 = 426.42/x
  3. Step 3: Cross multiply
    721.20x = 994.83 × 426.42
  4. Step 4: Simplify right side
    721.20x = 424,215.41
  5. Step 5: Solve for x
    x = 424,215.41/721.20
  6. Step 6: Final answer
    x = 588.21

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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.