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Finding the Fourth Proportional to 574.13, 792.30 and 338.09

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Solution

The fourth proportional to 574.13, 792.30 and 338.09 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.13 : 792.30 = 338.09 : x
  2. Step 2: Convert to fraction form
    574.13/792.30 = 338.09/x
  3. Step 3: Cross multiply
    574.13x = 792.30 × 338.09
  4. Step 4: Simplify right side
    574.13x = 267,868.71
  5. Step 5: Solve for x
    x = 267,868.71/574.13
  6. Step 6: Final answer
    x = 466.56

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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.