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Finding the Fourth Proportional to 414.27, 574.41 and 392.40

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Solution

The fourth proportional to 414.27, 574.41 and 392.40 is: 544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 574.41 = 392.40 : x
  2. Step 2: Convert to fraction form
    414.27/574.41 = 392.40/x
  3. Step 3: Cross multiply
    414.27x = 574.41 × 392.40
  4. Step 4: Simplify right side
    414.27x = 225,398.48
  5. Step 5: Solve for x
    x = 225,398.48/414.27
  6. Step 6: Final answer
    x = 544.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.