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Finding the Fourth Proportional to 799.26, 1,192.04 and 684.44

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Solution

The fourth proportional to 799.26, 1,192.04 and 684.44 is: 1,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,192.04 = 684.44 : x
  2. Step 2: Convert to fraction form
    799.26/1,192.04 = 684.44/x
  3. Step 3: Cross multiply
    799.26x = 1,192.04 × 684.44
  4. Step 4: Simplify right side
    799.26x = 815,879.86
  5. Step 5: Solve for x
    x = 815,879.86/799.26
  6. Step 6: Final answer
    x = 1,020.79

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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.