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Finding the Fourth Proportional to 641.98, 886.44 and 517.24

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Solution

The fourth proportional to 641.98, 886.44 and 517.24 is: 714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 886.44 = 517.24 : x
  2. Step 2: Convert to fraction form
    641.98/886.44 = 517.24/x
  3. Step 3: Cross multiply
    641.98x = 886.44 × 517.24
  4. Step 4: Simplify right side
    641.98x = 458,502.23
  5. Step 5: Solve for x
    x = 458,502.23/641.98
  6. Step 6: Final answer
    x = 714.20

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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.