Home / 1,414.24-2,121.38-440.14

Finding the Fourth Proportional to 1,414.24, 2,121.38 and 440.14

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Solution

The fourth proportional to 1,414.24, 2,121.38 and 440.14 is: 660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.24 : 2,121.38 = 440.14 : x
  2. Step 2: Convert to fraction form
    1,414.24/2,121.38 = 440.14/x
  3. Step 3: Cross multiply
    1,414.24x = 2,121.38 × 440.14
  4. Step 4: Simplify right side
    1,414.24x = 933,704.19
  5. Step 5: Solve for x
    x = 933,704.19/1,414.24
  6. Step 6: Final answer
    x = 660.22

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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.