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Finding the Fourth Proportional to 574.87, 792.19 and 408.80

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Solution

The fourth proportional to 574.87, 792.19 and 408.80 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.87 : 792.19 = 408.80 : x
  2. Step 2: Convert to fraction form
    574.87/792.19 = 408.80/x
  3. Step 3: Cross multiply
    574.87x = 792.19 × 408.80
  4. Step 4: Simplify right side
    574.87x = 323,847.27
  5. Step 5: Solve for x
    x = 323,847.27/574.87
  6. Step 6: Final answer
    x = 563.34

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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.