Home / 1,414.31-2,119.57-797.09

Finding the Fourth Proportional to 1,414.31, 2,119.57 and 797.09

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Solution

The fourth proportional to 1,414.31, 2,119.57 and 797.09 is: 1,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.31 : 2,119.57 = 797.09 : x
  2. Step 2: Convert to fraction form
    1,414.31/2,119.57 = 797.09/x
  3. Step 3: Cross multiply
    1,414.31x = 2,119.57 × 797.09
  4. Step 4: Simplify right side
    1,414.31x = 1,689,487.38
  5. Step 5: Solve for x
    x = 1,689,487.38/1,414.31
  6. Step 6: Final answer
    x = 1,194.57

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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.