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Finding the Fourth Proportional to 894.44, 1,234.32 and 769.88

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Solution

The fourth proportional to 894.44, 1,234.32 and 769.88 is: 1,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.44 : 1,234.32 = 769.88 : x
  2. Step 2: Convert to fraction form
    894.44/1,234.32 = 769.88/x
  3. Step 3: Cross multiply
    894.44x = 1,234.32 × 769.88
  4. Step 4: Simplify right side
    894.44x = 950,278.28
  5. Step 5: Solve for x
    x = 950,278.28/894.44
  6. Step 6: Final answer
    x = 1,062.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.