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Finding the Fourth Proportional to 517.72, 708.92 and 514.12

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Solution

The fourth proportional to 517.72, 708.92 and 514.12 is: 703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 708.92 = 514.12 : x
  2. Step 2: Convert to fraction form
    517.72/708.92 = 514.12/x
  3. Step 3: Cross multiply
    517.72x = 708.92 × 514.12
  4. Step 4: Simplify right side
    517.72x = 364,469.95
  5. Step 5: Solve for x
    x = 364,469.95/517.72
  6. Step 6: Final answer
    x = 703.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.