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Finding the Fourth Proportional to 883.76, 1,323 and 728.96

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Solution

The fourth proportional to 883.76, 1,323 and 728.96 is: 1,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.76 : 1,323 = 728.96 : x
  2. Step 2: Convert to fraction form
    883.76/1,323 = 728.96/x
  3. Step 3: Cross multiply
    883.76x = 1,323 × 728.96
  4. Step 4: Simplify right side
    883.76x = 964,414.08
  5. Step 5: Solve for x
    x = 964,414.08/883.76
  6. Step 6: Final answer
    x = 1,091.26

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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.