Home / 1,222.10-1,833.38-400.41

Finding the Fourth Proportional to 1,222.10, 1,833.38 and 400.41

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Solution

The fourth proportional to 1,222.10, 1,833.38 and 400.41 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.10 : 1,833.38 = 400.41 : x
  2. Step 2: Convert to fraction form
    1,222.10/1,833.38 = 400.41/x
  3. Step 3: Cross multiply
    1,222.10x = 1,833.38 × 400.41
  4. Step 4: Simplify right side
    1,222.10x = 734,101.68
  5. Step 5: Solve for x
    x = 734,101.68/1,222.10
  6. Step 6: Final answer
    x = 600.69

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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.