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Finding the Fourth Proportional to 835.44, 1,250.42 and 759.80

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Solution

The fourth proportional to 835.44, 1,250.42 and 759.80 is: 1,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,250.42 = 759.80 : x
  2. Step 2: Convert to fraction form
    835.44/1,250.42 = 759.80/x
  3. Step 3: Cross multiply
    835.44x = 1,250.42 × 759.80
  4. Step 4: Simplify right side
    835.44x = 950,065.32
  5. Step 5: Solve for x
    x = 950,065.32/835.44
  6. Step 6: Final answer
    x = 1,137.21

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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.