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Finding the Fourth Proportional to 519.66, 718.49 and 496.71

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Solution

The fourth proportional to 519.66, 718.49 and 496.71 is: 686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 718.49 = 496.71 : x
  2. Step 2: Convert to fraction form
    519.66/718.49 = 496.71/x
  3. Step 3: Cross multiply
    519.66x = 718.49 × 496.71
  4. Step 4: Simplify right side
    519.66x = 356,882.41
  5. Step 5: Solve for x
    x = 356,882.41/519.66
  6. Step 6: Final answer
    x = 686.76

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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.