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Finding the Fourth Proportional to 791.92, 1,187.20 and 617.64

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Solution

The fourth proportional to 791.92, 1,187.20 and 617.64 is: 925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,187.20 = 617.64 : x
  2. Step 2: Convert to fraction form
    791.92/1,187.20 = 617.64/x
  3. Step 3: Cross multiply
    791.92x = 1,187.20 × 617.64
  4. Step 4: Simplify right side
    791.92x = 733,262.21
  5. Step 5: Solve for x
    x = 733,262.21/791.92
  6. Step 6: Final answer
    x = 925.93

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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.