Home / 1,412.20-2,116.44-680.44

Finding the Fourth Proportional to 1,412.20, 2,116.44 and 680.44

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Solution

The fourth proportional to 1,412.20, 2,116.44 and 680.44 is: 1,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.20 : 2,116.44 = 680.44 : x
  2. Step 2: Convert to fraction form
    1,412.20/2,116.44 = 680.44/x
  3. Step 3: Cross multiply
    1,412.20x = 2,116.44 × 680.44
  4. Step 4: Simplify right side
    1,412.20x = 1,440,110.43
  5. Step 5: Solve for x
    x = 1,440,110.43/1,412.20
  6. Step 6: Final answer
    x = 1,019.76

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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.