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Finding the Fourth Proportional to 408.91, 567.97 and 397.39

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Solution

The fourth proportional to 408.91, 567.97 and 397.39 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.91 : 567.97 = 397.39 : x
  2. Step 2: Convert to fraction form
    408.91/567.97 = 397.39/x
  3. Step 3: Cross multiply
    408.91x = 567.97 × 397.39
  4. Step 4: Simplify right side
    408.91x = 225,705.60
  5. Step 5: Solve for x
    x = 225,705.60/408.91
  6. Step 6: Final answer
    x = 551.97

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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.