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Finding the Fourth Proportional to 1,220.11, 1,830.24 and 398.47

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Solution

The fourth proportional to 1,220.11, 1,830.24 and 398.47 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.11 : 1,830.24 = 398.47 : x
  2. Step 2: Convert to fraction form
    1,220.11/1,830.24 = 398.47/x
  3. Step 3: Cross multiply
    1,220.11x = 1,830.24 × 398.47
  4. Step 4: Simplify right side
    1,220.11x = 729,295.73
  5. Step 5: Solve for x
    x = 729,295.73/1,220.11
  6. Step 6: Final answer
    x = 597.73

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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.