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Finding the Fourth Proportional to 711.72, 1,067.72 and 300.85

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Solution

The fourth proportional to 711.72, 1,067.72 and 300.85 is: 451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 1,067.72 = 300.85 : x
  2. Step 2: Convert to fraction form
    711.72/1,067.72 = 300.85/x
  3. Step 3: Cross multiply
    711.72x = 1,067.72 × 300.85
  4. Step 4: Simplify right side
    711.72x = 321,223.56
  5. Step 5: Solve for x
    x = 321,223.56/711.72
  6. Step 6: Final answer
    x = 451.33

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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.