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Finding the Fourth Proportional to 1,251.63, 1,876.41 and 764.49

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Solution

The fourth proportional to 1,251.63, 1,876.41 and 764.49 is: 1,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.63 : 1,876.41 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,251.63/1,876.41 = 764.49/x
  3. Step 3: Cross multiply
    1,251.63x = 1,876.41 × 764.49
  4. Step 4: Simplify right side
    1,251.63x = 1,434,496.68
  5. Step 5: Solve for x
    x = 1,434,496.68/1,251.63
  6. Step 6: Final answer
    x = 1,146.10

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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.