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Finding the Fourth Proportional to 794.16, 1,198.90 and 789.84

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Solution

The fourth proportional to 794.16, 1,198.90 and 789.84 is: 1,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,198.90 = 789.84 : x
  2. Step 2: Convert to fraction form
    794.16/1,198.90 = 789.84/x
  3. Step 3: Cross multiply
    794.16x = 1,198.90 × 789.84
  4. Step 4: Simplify right side
    794.16x = 946,939.18
  5. Step 5: Solve for x
    x = 946,939.18/794.16
  6. Step 6: Final answer
    x = 1,192.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.