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Finding the Fourth Proportional to 574.41, 791.60 and 399.45

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Solution

The fourth proportional to 574.41, 791.60 and 399.45 is: 550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 791.60 = 399.45 : x
  2. Step 2: Convert to fraction form
    574.41/791.60 = 399.45/x
  3. Step 3: Cross multiply
    574.41x = 791.60 × 399.45
  4. Step 4: Simplify right side
    574.41x = 316,202.62
  5. Step 5: Solve for x
    x = 316,202.62/574.41
  6. Step 6: Final answer
    x = 550.48

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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.