Home / 1,223.20-1,832.48-674.56

Finding the Fourth Proportional to 1,223.20, 1,832.48 and 674.56

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Solution

The fourth proportional to 1,223.20, 1,832.48 and 674.56 is: 1,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.20 : 1,832.48 = 674.56 : x
  2. Step 2: Convert to fraction form
    1,223.20/1,832.48 = 674.56/x
  3. Step 3: Cross multiply
    1,223.20x = 1,832.48 × 674.56
  4. Step 4: Simplify right side
    1,223.20x = 1,236,117.71
  5. Step 5: Solve for x
    x = 1,236,117.71/1,223.20
  6. Step 6: Final answer
    x = 1,010.56

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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.