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Finding the Fourth Proportional to 711.78, 1,067.60 and 249.56

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Solution

The fourth proportional to 711.78, 1,067.60 and 249.56 is: 374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.78 : 1,067.60 = 249.56 : x
  2. Step 2: Convert to fraction form
    711.78/1,067.60 = 249.56/x
  3. Step 3: Cross multiply
    711.78x = 1,067.60 × 249.56
  4. Step 4: Simplify right side
    711.78x = 266,430.26
  5. Step 5: Solve for x
    x = 266,430.26/711.78
  6. Step 6: Final answer
    x = 374.32

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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.