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Finding the Fourth Proportional to 408.64, 562.72 and 400.12

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Solution

The fourth proportional to 408.64, 562.72 and 400.12 is: 550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.64 : 562.72 = 400.12 : x
  2. Step 2: Convert to fraction form
    408.64/562.72 = 400.12/x
  3. Step 3: Cross multiply
    408.64x = 562.72 × 400.12
  4. Step 4: Simplify right side
    408.64x = 225,155.53
  5. Step 5: Solve for x
    x = 225,155.53/408.64
  6. Step 6: Final answer
    x = 550.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.