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Finding the Fourth Proportional to 800.39, 1,198.50 and 685.57

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Solution

The fourth proportional to 800.39, 1,198.50 and 685.57 is: 1,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,198.50 = 685.57 : x
  2. Step 2: Convert to fraction form
    800.39/1,198.50 = 685.57/x
  3. Step 3: Cross multiply
    800.39x = 1,198.50 × 685.57
  4. Step 4: Simplify right side
    800.39x = 821,655.65
  5. Step 5: Solve for x
    x = 821,655.65/800.39
  6. Step 6: Final answer
    x = 1,026.58

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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.