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Finding the Fourth Proportional to 843.66, 1,163.10 and 712.44

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Solution

The fourth proportional to 843.66, 1,163.10 and 712.44 is: 982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.66 : 1,163.10 = 712.44 : x
  2. Step 2: Convert to fraction form
    843.66/1,163.10 = 712.44/x
  3. Step 3: Cross multiply
    843.66x = 1,163.10 × 712.44
  4. Step 4: Simplify right side
    843.66x = 828,638.96
  5. Step 5: Solve for x
    x = 828,638.96/843.66
  6. Step 6: Final answer
    x = 982.20

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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.