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Finding the Fourth Proportional to 842.74, 1,260.12 and 769.22

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Solution

The fourth proportional to 842.74, 1,260.12 and 769.22 is: 1,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,260.12 = 769.22 : x
  2. Step 2: Convert to fraction form
    842.74/1,260.12 = 769.22/x
  3. Step 3: Cross multiply
    842.74x = 1,260.12 × 769.22
  4. Step 4: Simplify right side
    842.74x = 969,309.51
  5. Step 5: Solve for x
    x = 969,309.51/842.74
  6. Step 6: Final answer
    x = 1,150.19

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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.