Home / 1,227.30-1,841.29-406.15

Finding the Fourth Proportional to 1,227.30, 1,841.29 and 406.15

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Solution

The fourth proportional to 1,227.30, 1,841.29 and 406.15 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.30 : 1,841.29 = 406.15 : x
  2. Step 2: Convert to fraction form
    1,227.30/1,841.29 = 406.15/x
  3. Step 3: Cross multiply
    1,227.30x = 1,841.29 × 406.15
  4. Step 4: Simplify right side
    1,227.30x = 747,831.25
  5. Step 5: Solve for x
    x = 747,831.25/1,227.30
  6. Step 6: Final answer
    x = 609.33

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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.