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Finding the Fourth Proportional to 728.34, 1,092.51 and 295.54

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Solution

The fourth proportional to 728.34, 1,092.51 and 295.54 is: 443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.34 : 1,092.51 = 295.54 : x
  2. Step 2: Convert to fraction form
    728.34/1,092.51 = 295.54/x
  3. Step 3: Cross multiply
    728.34x = 1,092.51 × 295.54
  4. Step 4: Simplify right side
    728.34x = 322,880.41
  5. Step 5: Solve for x
    x = 322,880.41/728.34
  6. Step 6: Final answer
    x = 443.31

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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.