Home / 1,414.32-2,121.71-440.22

Finding the Fourth Proportional to 1,414.32, 2,121.71 and 440.22

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Solution

The fourth proportional to 1,414.32, 2,121.71 and 440.22 is: 660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.32 : 2,121.71 = 440.22 : x
  2. Step 2: Convert to fraction form
    1,414.32/2,121.71 = 440.22/x
  3. Step 3: Cross multiply
    1,414.32x = 2,121.71 × 440.22
  4. Step 4: Simplify right side
    1,414.32x = 934,016.98
  5. Step 5: Solve for x
    x = 934,016.98/1,414.32
  6. Step 6: Final answer
    x = 660.40

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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.