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Finding the Fourth Proportional to 834.22, 1,150.57 and 778.33

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Solution

The fourth proportional to 834.22, 1,150.57 and 778.33 is: 1,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.22 : 1,150.57 = 778.33 : x
  2. Step 2: Convert to fraction form
    834.22/1,150.57 = 778.33/x
  3. Step 3: Cross multiply
    834.22x = 1,150.57 × 778.33
  4. Step 4: Simplify right side
    834.22x = 895,523.15
  5. Step 5: Solve for x
    x = 895,523.15/834.22
  6. Step 6: Final answer
    x = 1,073.49

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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.