Home / 1,414.19-2,121.83-683.71

Finding the Fourth Proportional to 1,414.19, 2,121.83 and 683.71

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Solution

The fourth proportional to 1,414.19, 2,121.83 and 683.71 is: 1,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.19 : 2,121.83 = 683.71 : x
  2. Step 2: Convert to fraction form
    1,414.19/2,121.83 = 683.71/x
  3. Step 3: Cross multiply
    1,414.19x = 2,121.83 × 683.71
  4. Step 4: Simplify right side
    1,414.19x = 1,450,716.39
  5. Step 5: Solve for x
    x = 1,450,716.39/1,414.19
  6. Step 6: Final answer
    x = 1,025.83

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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.