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Finding the Fourth Proportional to 500.47, 749.68 and 408.25

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Solution

The fourth proportional to 500.47, 749.68 and 408.25 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.47 : 749.68 = 408.25 : x
  2. Step 2: Convert to fraction form
    500.47/749.68 = 408.25/x
  3. Step 3: Cross multiply
    500.47x = 749.68 × 408.25
  4. Step 4: Simplify right side
    500.47x = 306,056.86
  5. Step 5: Solve for x
    x = 306,056.86/500.47
  6. Step 6: Final answer
    x = 611.54

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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.