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Finding the Fourth Proportional to 1,789.87, 2,685.26 and 749.43

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Solution

The fourth proportional to 1,789.87, 2,685.26 and 749.43 is: 1,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.87 : 2,685.26 = 749.43 : x
  2. Step 2: Convert to fraction form
    1,789.87/2,685.26 = 749.43/x
  3. Step 3: Cross multiply
    1,789.87x = 2,685.26 × 749.43
  4. Step 4: Simplify right side
    1,789.87x = 2,012,414.40
  5. Step 5: Solve for x
    x = 2,012,414.40/1,789.87
  6. Step 6: Final answer
    x = 1,124.34

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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.