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Finding the Fourth Proportional to 2,044.94, 3,067.91 and 658.40

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Solution

The fourth proportional to 2,044.94, 3,067.91 and 658.40 is: 987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.94 : 3,067.91 = 658.40 : x
  2. Step 2: Convert to fraction form
    2,044.94/3,067.91 = 658.40/x
  3. Step 3: Cross multiply
    2,044.94x = 3,067.91 × 658.40
  4. Step 4: Simplify right side
    2,044.94x = 2,019,916.32
  5. Step 5: Solve for x
    x = 2,019,916.32/2,044.94
  6. Step 6: Final answer
    x = 987.76

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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.