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Finding the Fourth Proportional to 921.36, 1,382.96 and 768.27

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Solution

The fourth proportional to 921.36, 1,382.96 and 768.27 is: 1,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.36 : 1,382.96 = 768.27 : x
  2. Step 2: Convert to fraction form
    921.36/1,382.96 = 768.27/x
  3. Step 3: Cross multiply
    921.36x = 1,382.96 × 768.27
  4. Step 4: Simplify right side
    921.36x = 1,062,486.68
  5. Step 5: Solve for x
    x = 1,062,486.68/921.36
  6. Step 6: Final answer
    x = 1,153.17

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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.