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Finding the Fourth Proportional to 1,067.87, 1,600.35 and 546.78

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Solution

The fourth proportional to 1,067.87, 1,600.35 and 546.78 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.87 : 1,600.35 = 546.78 : x
  2. Step 2: Convert to fraction form
    1,067.87/1,600.35 = 546.78/x
  3. Step 3: Cross multiply
    1,067.87x = 1,600.35 × 546.78
  4. Step 4: Simplify right side
    1,067.87x = 875,039.37
  5. Step 5: Solve for x
    x = 875,039.37/1,067.87
  6. Step 6: Final answer
    x = 819.42

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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.