Home / 1,414.14-2,122.43-684.23

Finding the Fourth Proportional to 1,414.14, 2,122.43 and 684.23

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Solution

The fourth proportional to 1,414.14, 2,122.43 and 684.23 is: 1,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.14 : 2,122.43 = 684.23 : x
  2. Step 2: Convert to fraction form
    1,414.14/2,122.43 = 684.23/x
  3. Step 3: Cross multiply
    1,414.14x = 2,122.43 × 684.23
  4. Step 4: Simplify right side
    1,414.14x = 1,452,216.25
  5. Step 5: Solve for x
    x = 1,452,216.25/1,414.14
  6. Step 6: Final answer
    x = 1,026.93

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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.