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Finding the Fourth Proportional to 574.31, 791.65 and 480.89

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Solution

The fourth proportional to 574.31, 791.65 and 480.89 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.31 : 791.65 = 480.89 : x
  2. Step 2: Convert to fraction form
    574.31/791.65 = 480.89/x
  3. Step 3: Cross multiply
    574.31x = 791.65 × 480.89
  4. Step 4: Simplify right side
    574.31x = 380,696.57
  5. Step 5: Solve for x
    x = 380,696.57/574.31
  6. Step 6: Final answer
    x = 662.88

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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.