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Finding the Fourth Proportional to 711.57, 1,067.45 and 249.31

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Solution

The fourth proportional to 711.57, 1,067.45 and 249.31 is: 374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.57 : 1,067.45 = 249.31 : x
  2. Step 2: Convert to fraction form
    711.57/1,067.45 = 249.31/x
  3. Step 3: Cross multiply
    711.57x = 1,067.45 × 249.31
  4. Step 4: Simplify right side
    711.57x = 266,126.05
  5. Step 5: Solve for x
    x = 266,126.05/711.57
  6. Step 6: Final answer
    x = 374.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.