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Finding the Fourth Proportional to 728.73, 1,092.23 and 419.94

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Solution

The fourth proportional to 728.73, 1,092.23 and 419.94 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,092.23 = 419.94 : x
  2. Step 2: Convert to fraction form
    728.73/1,092.23 = 419.94/x
  3. Step 3: Cross multiply
    728.73x = 1,092.23 × 419.94
  4. Step 4: Simplify right side
    728.73x = 458,673.06
  5. Step 5: Solve for x
    x = 458,673.06/728.73
  6. Step 6: Final answer
    x = 629.41

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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.