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Finding the Fourth Proportional to 921.24, 1,380.02 and 823.28

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Solution

The fourth proportional to 921.24, 1,380.02 and 823.28 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.24 : 1,380.02 = 823.28 : x
  2. Step 2: Convert to fraction form
    921.24/1,380.02 = 823.28/x
  3. Step 3: Cross multiply
    921.24x = 1,380.02 × 823.28
  4. Step 4: Simplify right side
    921.24x = 1,136,142.87
  5. Step 5: Solve for x
    x = 1,136,142.87/921.24
  6. Step 6: Final answer
    x = 1,233.28

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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.