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Finding the Fourth Proportional to 1,414.31, 2,120.22 and 684.41

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Solution

The fourth proportional to 1,414.31, 2,120.22 and 684.41 is: 1,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.31 : 2,120.22 = 684.41 : x
  2. Step 2: Convert to fraction form
    1,414.31/2,120.22 = 684.41/x
  3. Step 3: Cross multiply
    1,414.31x = 2,120.22 × 684.41
  4. Step 4: Simplify right side
    1,414.31x = 1,451,089.17
  5. Step 5: Solve for x
    x = 1,451,089.17/1,414.31
  6. Step 6: Final answer
    x = 1,026.01

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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.