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Finding the Fourth Proportional to 791.38, 1,187.33 and 401.21

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Solution

The fourth proportional to 791.38, 1,187.33 and 401.21 is: 601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,187.33 = 401.21 : x
  2. Step 2: Convert to fraction form
    791.38/1,187.33 = 401.21/x
  3. Step 3: Cross multiply
    791.38x = 1,187.33 × 401.21
  4. Step 4: Simplify right side
    791.38x = 476,368.67
  5. Step 5: Solve for x
    x = 476,368.67/791.38
  6. Step 6: Final answer
    x = 601.95

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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.