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Finding the Fourth Proportional to 721.12, 995 and 426.42

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Solution

The fourth proportional to 721.12, 995 and 426.42 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.12 : 995 = 426.42 : x
  2. Step 2: Convert to fraction form
    721.12/995 = 426.42/x
  3. Step 3: Cross multiply
    721.12x = 995 × 426.42
  4. Step 4: Simplify right side
    721.12x = 424,287.90
  5. Step 5: Solve for x
    x = 424,287.90/721.12
  6. Step 6: Final answer
    x = 588.37

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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.