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Finding the Fourth Proportional to 891.36, 1,227.96 and 847.44

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Solution

The fourth proportional to 891.36, 1,227.96 and 847.44 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.36 : 1,227.96 = 847.44 : x
  2. Step 2: Convert to fraction form
    891.36/1,227.96 = 847.44/x
  3. Step 3: Cross multiply
    891.36x = 1,227.96 × 847.44
  4. Step 4: Simplify right side
    891.36x = 1,040,622.42
  5. Step 5: Solve for x
    x = 1,040,622.42/891.36
  6. Step 6: Final answer
    x = 1,167.45

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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.