Home / 1,424.20-2,131.74-764.43

Finding the Fourth Proportional to 1,424.20, 2,131.74 and 764.43

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Solution

The fourth proportional to 1,424.20, 2,131.74 and 764.43 is: 1,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.20 : 2,131.74 = 764.43 : x
  2. Step 2: Convert to fraction form
    1,424.20/2,131.74 = 764.43/x
  3. Step 3: Cross multiply
    1,424.20x = 2,131.74 × 764.43
  4. Step 4: Simplify right side
    1,424.20x = 1,629,566.01
  5. Step 5: Solve for x
    x = 1,629,566.01/1,424.20
  6. Step 6: Final answer
    x = 1,144.20

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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.