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Finding the Fourth Proportional to 2,044.80, 3,067.56 and 658.44

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Solution

The fourth proportional to 2,044.80, 3,067.56 and 658.44 is: 987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.80 : 3,067.56 = 658.44 : x
  2. Step 2: Convert to fraction form
    2,044.80/3,067.56 = 658.44/x
  3. Step 3: Cross multiply
    2,044.80x = 3,067.56 × 658.44
  4. Step 4: Simplify right side
    2,044.80x = 2,019,804.21
  5. Step 5: Solve for x
    x = 2,019,804.21/2,044.80
  6. Step 6: Final answer
    x = 987.78

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1.5x scale

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.