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Finding the Fourth Proportional to 406.86, 563.69 and 398.22

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Solution

The fourth proportional to 406.86, 563.69 and 398.22 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 563.69 = 398.22 : x
  2. Step 2: Convert to fraction form
    406.86/563.69 = 398.22/x
  3. Step 3: Cross multiply
    406.86x = 563.69 × 398.22
  4. Step 4: Simplify right side
    406.86x = 224,470.64
  5. Step 5: Solve for x
    x = 224,470.64/406.86
  6. Step 6: Final answer
    x = 551.71

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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.