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Finding the Fourth Proportional to 519.72, 718.56 and 496.77

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Solution

The fourth proportional to 519.72, 718.56 and 496.77 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 718.56 = 496.77 : x
  2. Step 2: Convert to fraction form
    519.72/718.56 = 496.77/x
  3. Step 3: Cross multiply
    519.72x = 718.56 × 496.77
  4. Step 4: Simplify right side
    519.72x = 356,959.05
  5. Step 5: Solve for x
    x = 356,959.05/519.72
  6. Step 6: Final answer
    x = 686.83

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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.