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Finding the Fourth Proportional to 496.44, 742.60 and 408.76

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Solution

The fourth proportional to 496.44, 742.60 and 408.76 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.44 : 742.60 = 408.76 : x
  2. Step 2: Convert to fraction form
    496.44/742.60 = 408.76/x
  3. Step 3: Cross multiply
    496.44x = 742.60 × 408.76
  4. Step 4: Simplify right side
    496.44x = 303,545.18
  5. Step 5: Solve for x
    x = 303,545.18/496.44
  6. Step 6: Final answer
    x = 611.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.