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Finding the Fourth Proportional to 600.70, 827.13 and 517.66

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Solution

The fourth proportional to 600.70, 827.13 and 517.66 is: 712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.70 : 827.13 = 517.66 : x
  2. Step 2: Convert to fraction form
    600.70/827.13 = 517.66/x
  3. Step 3: Cross multiply
    600.70x = 827.13 × 517.66
  4. Step 4: Simplify right side
    600.70x = 428,172.12
  5. Step 5: Solve for x
    x = 428,172.12/600.70
  6. Step 6: Final answer
    x = 712.79

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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.