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Finding the Fourth Proportional to 1,340.98, 1,850.94 and 843.61

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Solution

The fourth proportional to 1,340.98, 1,850.94 and 843.61 is: 1,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.98 : 1,850.94 = 843.61 : x
  2. Step 2: Convert to fraction form
    1,340.98/1,850.94 = 843.61/x
  3. Step 3: Cross multiply
    1,340.98x = 1,850.94 × 843.61
  4. Step 4: Simplify right side
    1,340.98x = 1,561,471.49
  5. Step 5: Solve for x
    x = 1,561,471.49/1,340.98
  6. Step 6: Final answer
    x = 1,164.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.