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Finding the Fourth Proportional to 796.10, 1,189.02 and 686.76

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Solution

The fourth proportional to 796.10, 1,189.02 and 686.76 is: 1,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,189.02 = 686.76 : x
  2. Step 2: Convert to fraction form
    796.10/1,189.02 = 686.76/x
  3. Step 3: Cross multiply
    796.10x = 1,189.02 × 686.76
  4. Step 4: Simplify right side
    796.10x = 816,571.38
  5. Step 5: Solve for x
    x = 816,571.38/796.10
  6. Step 6: Final answer
    x = 1,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.