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Finding the Fourth Proportional to 574.20, 792.46 and 353.15

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Solution

The fourth proportional to 574.20, 792.46 and 353.15 is: 487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 792.46 = 353.15 : x
  2. Step 2: Convert to fraction form
    574.20/792.46 = 353.15/x
  3. Step 3: Cross multiply
    574.20x = 792.46 × 353.15
  4. Step 4: Simplify right side
    574.20x = 279,855.85
  5. Step 5: Solve for x
    x = 279,855.85/574.20
  6. Step 6: Final answer
    x = 487.39

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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.