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Finding the Fourth Proportional to 1,844.31, 2,764.71 and 689.79

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Solution

The fourth proportional to 1,844.31, 2,764.71 and 689.79 is: 1,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.31 : 2,764.71 = 689.79 : x
  2. Step 2: Convert to fraction form
    1,844.31/2,764.71 = 689.79/x
  3. Step 3: Cross multiply
    1,844.31x = 2,764.71 × 689.79
  4. Step 4: Simplify right side
    1,844.31x = 1,907,069.31
  5. Step 5: Solve for x
    x = 1,907,069.31/1,844.31
  6. Step 6: Final answer
    x = 1,034.03

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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.