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Finding the Fourth Proportional to 921.23, 1,374.31 and 896.12

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Solution

The fourth proportional to 921.23, 1,374.31 and 896.12 is: 1,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.23 : 1,374.31 = 896.12 : x
  2. Step 2: Convert to fraction form
    921.23/1,374.31 = 896.12/x
  3. Step 3: Cross multiply
    921.23x = 1,374.31 × 896.12
  4. Step 4: Simplify right side
    921.23x = 1,231,546.68
  5. Step 5: Solve for x
    x = 1,231,546.68/921.23
  6. Step 6: Final answer
    x = 1,336.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.