Home / 1,220.49-1,829.61-398.34

Finding the Fourth Proportional to 1,220.49, 1,829.61 and 398.34

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Solution

The fourth proportional to 1,220.49, 1,829.61 and 398.34 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.49 : 1,829.61 = 398.34 : x
  2. Step 2: Convert to fraction form
    1,220.49/1,829.61 = 398.34/x
  3. Step 3: Cross multiply
    1,220.49x = 1,829.61 × 398.34
  4. Step 4: Simplify right side
    1,220.49x = 728,806.85
  5. Step 5: Solve for x
    x = 728,806.85/1,220.49
  6. Step 6: Final answer
    x = 597.14

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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.