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Finding the Fourth Proportional to 414.28, 616.73 and 408.52

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Solution

The fourth proportional to 414.28, 616.73 and 408.52 is: 608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 616.73 = 408.52 : x
  2. Step 2: Convert to fraction form
    414.28/616.73 = 408.52/x
  3. Step 3: Cross multiply
    414.28x = 616.73 × 408.52
  4. Step 4: Simplify right side
    414.28x = 251,946.54
  5. Step 5: Solve for x
    x = 251,946.54/414.28
  6. Step 6: Final answer
    x = 608.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.