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Finding the Fourth Proportional to 574.16, 791.78 and 349.92

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Solution

The fourth proportional to 574.16, 791.78 and 349.92 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 791.78 = 349.92 : x
  2. Step 2: Convert to fraction form
    574.16/791.78 = 349.92/x
  3. Step 3: Cross multiply
    574.16x = 791.78 × 349.92
  4. Step 4: Simplify right side
    574.16x = 277,057.91
  5. Step 5: Solve for x
    x = 277,057.91/574.16
  6. Step 6: Final answer
    x = 482.55

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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.