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Finding the Fourth Proportional to 496.92, 685.12 and 408.28

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Solution

The fourth proportional to 496.92, 685.12 and 408.28 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 685.12 = 408.28 : x
  2. Step 2: Convert to fraction form
    496.92/685.12 = 408.28/x
  3. Step 3: Cross multiply
    496.92x = 685.12 × 408.28
  4. Step 4: Simplify right side
    496.92x = 279,720.79
  5. Step 5: Solve for x
    x = 279,720.79/496.92
  6. Step 6: Final answer
    x = 562.91

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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.