Home / 1,414.20-2,120.69-440.38

Finding the Fourth Proportional to 1,414.20, 2,120.69 and 440.38

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Solution

The fourth proportional to 1,414.20, 2,120.69 and 440.38 is: 660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.20 : 2,120.69 = 440.38 : x
  2. Step 2: Convert to fraction form
    1,414.20/2,120.69 = 440.38/x
  3. Step 3: Cross multiply
    1,414.20x = 2,120.69 × 440.38
  4. Step 4: Simplify right side
    1,414.20x = 933,905.26
  5. Step 5: Solve for x
    x = 933,905.26/1,414.20
  6. Step 6: Final answer
    x = 660.38

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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.