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Finding the Fourth Proportional to 517.65, 714.44 and 393.11

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Solution

The fourth proportional to 517.65, 714.44 and 393.11 is: 542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.65 : 714.44 = 393.11 : x
  2. Step 2: Convert to fraction form
    517.65/714.44 = 393.11/x
  3. Step 3: Cross multiply
    517.65x = 714.44 × 393.11
  4. Step 4: Simplify right side
    517.65x = 280,847.97
  5. Step 5: Solve for x
    x = 280,847.97/517.65
  6. Step 6: Final answer
    x = 542.54

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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.