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Finding the Fourth Proportional to 806.69, 1,211.27 and 767.05

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Solution

The fourth proportional to 806.69, 1,211.27 and 767.05 is: 1,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.69 : 1,211.27 = 767.05 : x
  2. Step 2: Convert to fraction form
    806.69/1,211.27 = 767.05/x
  3. Step 3: Cross multiply
    806.69x = 1,211.27 × 767.05
  4. Step 4: Simplify right side
    806.69x = 929,104.65
  5. Step 5: Solve for x
    x = 929,104.65/806.69
  6. Step 6: Final answer
    x = 1,151.75

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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.