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Finding the Fourth Proportional to 809.85, 1,211.82 and 701.44

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Solution

The fourth proportional to 809.85, 1,211.82 and 701.44 is: 1,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.85 : 1,211.82 = 701.44 : x
  2. Step 2: Convert to fraction form
    809.85/1,211.82 = 701.44/x
  3. Step 3: Cross multiply
    809.85x = 1,211.82 × 701.44
  4. Step 4: Simplify right side
    809.85x = 850,019.02
  5. Step 5: Solve for x
    x = 850,019.02/809.85
  6. Step 6: Final answer
    x = 1,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.