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Finding the Fourth Proportional to 728.25, 1,092.56 and 215.25

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Solution

The fourth proportional to 728.25, 1,092.56 and 215.25 is: 322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,092.56 = 215.25 : x
  2. Step 2: Convert to fraction form
    728.25/1,092.56 = 215.25/x
  3. Step 3: Cross multiply
    728.25x = 1,092.56 × 215.25
  4. Step 4: Simplify right side
    728.25x = 235,173.54
  5. Step 5: Solve for x
    x = 235,173.54/728.25
  6. Step 6: Final answer
    x = 322.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.