Home / 1,220.43-1,829.36-398.49

Finding the Fourth Proportional to 1,220.43, 1,829.36 and 398.49

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Solution

The fourth proportional to 1,220.43, 1,829.36 and 398.49 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.43 : 1,829.36 = 398.49 : x
  2. Step 2: Convert to fraction form
    1,220.43/1,829.36 = 398.49/x
  3. Step 3: Cross multiply
    1,220.43x = 1,829.36 × 398.49
  4. Step 4: Simplify right side
    1,220.43x = 728,974.68
  5. Step 5: Solve for x
    x = 728,974.68/1,220.43
  6. Step 6: Final answer
    x = 597.31

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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.