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Finding the Fourth Proportional to 574.02, 791.87 and 387.27

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Solution

The fourth proportional to 574.02, 791.87 and 387.27 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 791.87 = 387.27 : x
  2. Step 2: Convert to fraction form
    574.02/791.87 = 387.27/x
  3. Step 3: Cross multiply
    574.02x = 791.87 × 387.27
  4. Step 4: Simplify right side
    574.02x = 306,665.56
  5. Step 5: Solve for x
    x = 306,665.56/574.02
  6. Step 6: Final answer
    x = 534.24

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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.