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Finding the Fourth Proportional to 408.92, 612.56 and 331.50

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Solution

The fourth proportional to 408.92, 612.56 and 331.50 is: 496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 612.56 = 331.50 : x
  2. Step 2: Convert to fraction form
    408.92/612.56 = 331.50/x
  3. Step 3: Cross multiply
    408.92x = 612.56 × 331.50
  4. Step 4: Simplify right side
    408.92x = 203,063.64
  5. Step 5: Solve for x
    x = 203,063.64/408.92
  6. Step 6: Final answer
    x = 496.59

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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.