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Finding the Fourth Proportional to 408.89, 568.14 and 404.61

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Solution

The fourth proportional to 408.89, 568.14 and 404.61 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.89 : 568.14 = 404.61 : x
  2. Step 2: Convert to fraction form
    408.89/568.14 = 404.61/x
  3. Step 3: Cross multiply
    408.89x = 568.14 × 404.61
  4. Step 4: Simplify right side
    408.89x = 229,875.13
  5. Step 5: Solve for x
    x = 229,875.13/408.89
  6. Step 6: Final answer
    x = 562.19

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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.