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Finding the Fourth Proportional to 408.87, 616.39 and 382.45

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Solution

The fourth proportional to 408.87, 616.39 and 382.45 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.87 : 616.39 = 382.45 : x
  2. Step 2: Convert to fraction form
    408.87/616.39 = 382.45/x
  3. Step 3: Cross multiply
    408.87x = 616.39 × 382.45
  4. Step 4: Simplify right side
    408.87x = 235,736.63
  5. Step 5: Solve for x
    x = 235,736.63/408.87
  6. Step 6: Final answer
    x = 576.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.