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Finding the Fourth Proportional to 711.56, 1,067.41 and 363.94

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Solution

The fourth proportional to 711.56, 1,067.41 and 363.94 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 1,067.41 = 363.94 : x
  2. Step 2: Convert to fraction form
    711.56/1,067.41 = 363.94/x
  3. Step 3: Cross multiply
    711.56x = 1,067.41 × 363.94
  4. Step 4: Simplify right side
    711.56x = 388,473.20
  5. Step 5: Solve for x
    x = 388,473.20/711.56
  6. Step 6: Final answer
    x = 545.95

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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.