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Finding the Fourth Proportional to 574.16, 791.40 and 399.20

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Solution

The fourth proportional to 574.16, 791.40 and 399.20 is: 550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.16 : 791.40 = 399.20 : x
  2. Step 2: Convert to fraction form
    574.16/791.40 = 399.20/x
  3. Step 3: Cross multiply
    574.16x = 791.40 × 399.20
  4. Step 4: Simplify right side
    574.16x = 315,926.88
  5. Step 5: Solve for x
    x = 315,926.88/574.16
  6. Step 6: Final answer
    x = 550.24

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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.