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Finding the Fourth Proportional to 1,844.09, 2,766.04 and 689.75

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Solution

The fourth proportional to 1,844.09, 2,766.04 and 689.75 is: 1,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.09 : 2,766.04 = 689.75 : x
  2. Step 2: Convert to fraction form
    1,844.09/2,766.04 = 689.75/x
  3. Step 3: Cross multiply
    1,844.09x = 2,766.04 × 689.75
  4. Step 4: Simplify right side
    1,844.09x = 1,907,876.09
  5. Step 5: Solve for x
    x = 1,907,876.09/1,844.09
  6. Step 6: Final answer
    x = 1,034.59

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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.