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Finding the Fourth Proportional to 574.09, 791.19 and 480.85

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Solution

The fourth proportional to 574.09, 791.19 and 480.85 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.09 : 791.19 = 480.85 : x
  2. Step 2: Convert to fraction form
    574.09/791.19 = 480.85/x
  3. Step 3: Cross multiply
    574.09x = 791.19 × 480.85
  4. Step 4: Simplify right side
    574.09x = 380,441.31
  5. Step 5: Solve for x
    x = 380,441.31/574.09
  6. Step 6: Final answer
    x = 662.69

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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.