Home / 1,222.24-1,833.42-400.18

Finding the Fourth Proportional to 1,222.24, 1,833.42 and 400.18

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Solution

The fourth proportional to 1,222.24, 1,833.42 and 400.18 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.24 : 1,833.42 = 400.18 : x
  2. Step 2: Convert to fraction form
    1,222.24/1,833.42 = 400.18/x
  3. Step 3: Cross multiply
    1,222.24x = 1,833.42 × 400.18
  4. Step 4: Simplify right side
    1,222.24x = 733,698.02
  5. Step 5: Solve for x
    x = 733,698.02/1,222.24
  6. Step 6: Final answer
    x = 600.29

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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.