Home / 1,414.02-2,121.33-684.21

Finding the Fourth Proportional to 1,414.02, 2,121.33 and 684.21

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Solution

The fourth proportional to 1,414.02, 2,121.33 and 684.21 is: 1,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.02 : 2,121.33 = 684.21 : x
  2. Step 2: Convert to fraction form
    1,414.02/2,121.33 = 684.21/x
  3. Step 3: Cross multiply
    1,414.02x = 2,121.33 × 684.21
  4. Step 4: Simplify right side
    1,414.02x = 1,451,435.20
  5. Step 5: Solve for x
    x = 1,451,435.20/1,414.02
  6. Step 6: Final answer
    x = 1,026.46

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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.