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Finding the Fourth Proportional to 1,338.73, 2,008.41 and 791.35

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Solution

The fourth proportional to 1,338.73, 2,008.41 and 791.35 is: 1,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.73 : 2,008.41 = 791.35 : x
  2. Step 2: Convert to fraction form
    1,338.73/2,008.41 = 791.35/x
  3. Step 3: Cross multiply
    1,338.73x = 2,008.41 × 791.35
  4. Step 4: Simplify right side
    1,338.73x = 1,589,355.25
  5. Step 5: Solve for x
    x = 1,589,355.25/1,338.73
  6. Step 6: Final answer
    x = 1,187.21

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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.