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Finding the Fourth Proportional to 1,067.52, 1,601.73 and 418.71

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Solution

The fourth proportional to 1,067.52, 1,601.73 and 418.71 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.52 : 1,601.73 = 418.71 : x
  2. Step 2: Convert to fraction form
    1,067.52/1,601.73 = 418.71/x
  3. Step 3: Cross multiply
    1,067.52x = 1,601.73 × 418.71
  4. Step 4: Simplify right side
    1,067.52x = 670,660.37
  5. Step 5: Solve for x
    x = 670,660.37/1,067.52
  6. Step 6: Final answer
    x = 628.24

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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.