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Finding the Fourth Proportional to 517.01, 714.17 and 492.71

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Solution

The fourth proportional to 517.01, 714.17 and 492.71 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.01 : 714.17 = 492.71 : x
  2. Step 2: Convert to fraction form
    517.01/714.17 = 492.71/x
  3. Step 3: Cross multiply
    517.01x = 714.17 × 492.71
  4. Step 4: Simplify right side
    517.01x = 351,876.24
  5. Step 5: Solve for x
    x = 351,876.24/517.01
  6. Step 6: Final answer
    x = 680.60

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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.