Home / 1,224.24-1,836.42-454.56

Finding the Fourth Proportional to 1,224.24, 1,836.42 and 454.56

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Solution

The fourth proportional to 1,224.24, 1,836.42 and 454.56 is: 681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.24 : 1,836.42 = 454.56 : x
  2. Step 2: Convert to fraction form
    1,224.24/1,836.42 = 454.56/x
  3. Step 3: Cross multiply
    1,224.24x = 1,836.42 × 454.56
  4. Step 4: Simplify right side
    1,224.24x = 834,763.08
  5. Step 5: Solve for x
    x = 834,763.08/1,224.24
  6. Step 6: Final answer
    x = 681.86

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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.