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Finding the Fourth Proportional to 559.71, 773.96 and 498.15

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Solution

The fourth proportional to 559.71, 773.96 and 498.15 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.71 : 773.96 = 498.15 : x
  2. Step 2: Convert to fraction form
    559.71/773.96 = 498.15/x
  3. Step 3: Cross multiply
    559.71x = 773.96 × 498.15
  4. Step 4: Simplify right side
    559.71x = 385,545.68
  5. Step 5: Solve for x
    x = 385,545.68/559.71
  6. Step 6: Final answer
    x = 688.83

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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.