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Finding the Fourth Proportional to 842.22, 1,161.30 and 684.42

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Solution

The fourth proportional to 842.22, 1,161.30 and 684.42 is: 943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.22 : 1,161.30 = 684.42 : x
  2. Step 2: Convert to fraction form
    842.22/1,161.30 = 684.42/x
  3. Step 3: Cross multiply
    842.22x = 1,161.30 × 684.42
  4. Step 4: Simplify right side
    842.22x = 794,816.95
  5. Step 5: Solve for x
    x = 794,816.95/842.22
  6. Step 6: Final answer
    x = 943.72

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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.