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Finding the Fourth Proportional to 1,067.73, 1,601.52 and 287.70

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Solution

The fourth proportional to 1,067.73, 1,601.52 and 287.70 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.73 : 1,601.52 = 287.70 : x
  2. Step 2: Convert to fraction form
    1,067.73/1,601.52 = 287.70/x
  3. Step 3: Cross multiply
    1,067.73x = 1,601.52 × 287.70
  4. Step 4: Simplify right side
    1,067.73x = 460,760.85
  5. Step 5: Solve for x
    x = 460,760.85/1,067.73
  6. Step 6: Final answer
    x = 431.53

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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.