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Finding the Fourth Proportional to 517.88, 712.58 and 499.92

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Solution

The fourth proportional to 517.88, 712.58 and 499.92 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 712.58 = 499.92 : x
  2. Step 2: Convert to fraction form
    517.88/712.58 = 499.92/x
  3. Step 3: Cross multiply
    517.88x = 712.58 × 499.92
  4. Step 4: Simplify right side
    517.88x = 356,230.49
  5. Step 5: Solve for x
    x = 356,230.49/517.88
  6. Step 6: Final answer
    x = 687.87

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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.