Home / 1,414.28-2,121.74-440.38

Finding the Fourth Proportional to 1,414.28, 2,121.74 and 440.38

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Solution

The fourth proportional to 1,414.28, 2,121.74 and 440.38 is: 660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.28 : 2,121.74 = 440.38 : x
  2. Step 2: Convert to fraction form
    1,414.28/2,121.74 = 440.38/x
  3. Step 3: Cross multiply
    1,414.28x = 2,121.74 × 440.38
  4. Step 4: Simplify right side
    1,414.28x = 934,371.86
  5. Step 5: Solve for x
    x = 934,371.86/1,414.28
  6. Step 6: Final answer
    x = 660.67

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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.