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Finding the Fourth Proportional to 791.43, 1,187.15 and 243.61

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Solution

The fourth proportional to 791.43, 1,187.15 and 243.61 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.43 : 1,187.15 = 243.61 : x
  2. Step 2: Convert to fraction form
    791.43/1,187.15 = 243.61/x
  3. Step 3: Cross multiply
    791.43x = 1,187.15 × 243.61
  4. Step 4: Simplify right side
    791.43x = 289,196.55
  5. Step 5: Solve for x
    x = 289,196.55/791.43
  6. Step 6: Final answer
    x = 365.41

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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.