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Finding the Fourth Proportional to 415.68, 574.32 and 400.56

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Solution

The fourth proportional to 415.68, 574.32 and 400.56 is: 553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 574.32 = 400.56 : x
  2. Step 2: Convert to fraction form
    415.68/574.32 = 400.56/x
  3. Step 3: Cross multiply
    415.68x = 574.32 × 400.56
  4. Step 4: Simplify right side
    415.68x = 230,049.62
  5. Step 5: Solve for x
    x = 230,049.62/415.68
  6. Step 6: Final answer
    x = 553.43

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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.