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Finding the Fourth Proportional to 574.34, 791.39 and 511.49

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Solution

The fourth proportional to 574.34, 791.39 and 511.49 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.34 : 791.39 = 511.49 : x
  2. Step 2: Convert to fraction form
    574.34/791.39 = 511.49/x
  3. Step 3: Cross multiply
    574.34x = 791.39 × 511.49
  4. Step 4: Simplify right side
    574.34x = 404,791.33
  5. Step 5: Solve for x
    x = 404,791.33/574.34
  6. Step 6: Final answer
    x = 704.80

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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.