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Finding the Fourth Proportional to 843.83, 1,161.02 and 824.39

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Solution

The fourth proportional to 843.83, 1,161.02 and 824.39 is: 1,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.83 : 1,161.02 = 824.39 : x
  2. Step 2: Convert to fraction form
    843.83/1,161.02 = 824.39/x
  3. Step 3: Cross multiply
    843.83x = 1,161.02 × 824.39
  4. Step 4: Simplify right side
    843.83x = 957,129.53
  5. Step 5: Solve for x
    x = 957,129.53/843.83
  6. Step 6: Final answer
    x = 1,134.27

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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.