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Finding the Fourth Proportional to 791.92, 1,185.96 and 684.40

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Solution

The fourth proportional to 791.92, 1,185.96 and 684.40 is: 1,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,185.96 = 684.40 : x
  2. Step 2: Convert to fraction form
    791.92/1,185.96 = 684.40/x
  3. Step 3: Cross multiply
    791.92x = 1,185.96 × 684.40
  4. Step 4: Simplify right side
    791.92x = 811,671.02
  5. Step 5: Solve for x
    x = 811,671.02/791.92
  6. Step 6: Final answer
    x = 1,024.94

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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.