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Finding the Fourth Proportional to 1,379, 2,067.42 and 648.38

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Solution

The fourth proportional to 1,379, 2,067.42 and 648.38 is: 972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379 : 2,067.42 = 648.38 : x
  2. Step 2: Convert to fraction form
    1,379/2,067.42 = 648.38/x
  3. Step 3: Cross multiply
    1,379x = 2,067.42 × 648.38
  4. Step 4: Simplify right side
    1,379x = 1,340,473.78
  5. Step 5: Solve for x
    x = 1,340,473.78/1,379
  6. Step 6: Final answer
    x = 972.06

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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.