Home / 1,231.22-1,846.23-409.21

Finding the Fourth Proportional to 1,231.22, 1,846.23 and 409.21

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Solution

The fourth proportional to 1,231.22, 1,846.23 and 409.21 is: 613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.22 : 1,846.23 = 409.21 : x
  2. Step 2: Convert to fraction form
    1,231.22/1,846.23 = 409.21/x
  3. Step 3: Cross multiply
    1,231.22x = 1,846.23 × 409.21
  4. Step 4: Simplify right side
    1,231.22x = 755,495.78
  5. Step 5: Solve for x
    x = 755,495.78/1,231.22
  6. Step 6: Final answer
    x = 613.62

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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.