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Finding the Fourth Proportional to 574.56, 792.72 and 408.78

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Solution

The fourth proportional to 574.56, 792.72 and 408.78 is: 563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 792.72 = 408.78 : x
  2. Step 2: Convert to fraction form
    574.56/792.72 = 408.78/x
  3. Step 3: Cross multiply
    574.56x = 792.72 × 408.78
  4. Step 4: Simplify right side
    574.56x = 324,048.08
  5. Step 5: Solve for x
    x = 324,048.08/574.56
  6. Step 6: Final answer
    x = 563.99

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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.