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Finding the Fourth Proportional to 728.82, 1,092.59 and 273.14

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Solution

The fourth proportional to 728.82, 1,092.59 and 273.14 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.82 : 1,092.59 = 273.14 : x
  2. Step 2: Convert to fraction form
    728.82/1,092.59 = 273.14/x
  3. Step 3: Cross multiply
    728.82x = 1,092.59 × 273.14
  4. Step 4: Simplify right side
    728.82x = 298,430.03
  5. Step 5: Solve for x
    x = 298,430.03/728.82
  6. Step 6: Final answer
    x = 409.47

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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.