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Finding the Fourth Proportional to 711.61, 1,067.44 and 364.85

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Solution

The fourth proportional to 711.61, 1,067.44 and 364.85 is: 547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.61 : 1,067.44 = 364.85 : x
  2. Step 2: Convert to fraction form
    711.61/1,067.44 = 364.85/x
  3. Step 3: Cross multiply
    711.61x = 1,067.44 × 364.85
  4. Step 4: Simplify right side
    711.61x = 389,455.48
  5. Step 5: Solve for x
    x = 389,455.48/711.61
  6. Step 6: Final answer
    x = 547.29

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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.