Home / 1,220.27-1,829.79-398.43

Finding the Fourth Proportional to 1,220.27, 1,829.79 and 398.43

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Solution

The fourth proportional to 1,220.27, 1,829.79 and 398.43 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.27 : 1,829.79 = 398.43 : x
  2. Step 2: Convert to fraction form
    1,220.27/1,829.79 = 398.43/x
  3. Step 3: Cross multiply
    1,220.27x = 1,829.79 × 398.43
  4. Step 4: Simplify right side
    1,220.27x = 729,043.23
  5. Step 5: Solve for x
    x = 729,043.23/1,220.27
  6. Step 6: Final answer
    x = 597.45

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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.