Home / 1,251.35-1,876.97-314.29

Finding the Fourth Proportional to 1,251.35, 1,876.97 and 314.29

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Solution

The fourth proportional to 1,251.35, 1,876.97 and 314.29 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.35 : 1,876.97 = 314.29 : x
  2. Step 2: Convert to fraction form
    1,251.35/1,876.97 = 314.29/x
  3. Step 3: Cross multiply
    1,251.35x = 1,876.97 × 314.29
  4. Step 4: Simplify right side
    1,251.35x = 589,906.64
  5. Step 5: Solve for x
    x = 589,906.64/1,251.35
  6. Step 6: Final answer
    x = 471.42

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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.