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Finding the Fourth Proportional to 791.44, 1,187.43 and 426.27

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Solution

The fourth proportional to 791.44, 1,187.43 and 426.27 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.44 : 1,187.43 = 426.27 : x
  2. Step 2: Convert to fraction form
    791.44/1,187.43 = 426.27/x
  3. Step 3: Cross multiply
    791.44x = 1,187.43 × 426.27
  4. Step 4: Simplify right side
    791.44x = 506,159.85
  5. Step 5: Solve for x
    x = 506,159.85/791.44
  6. Step 6: Final answer
    x = 639.54

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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.