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Finding the Fourth Proportional to 408.87, 568.01 and 405.06

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Solution

The fourth proportional to 408.87, 568.01 and 405.06 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.87 : 568.01 = 405.06 : x
  2. Step 2: Convert to fraction form
    408.87/568.01 = 405.06/x
  3. Step 3: Cross multiply
    408.87x = 568.01 × 405.06
  4. Step 4: Simplify right side
    408.87x = 230,076.11
  5. Step 5: Solve for x
    x = 230,076.11/408.87
  6. Step 6: Final answer
    x = 562.71

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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.