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Finding the Fourth Proportional to 834.25, 1,251.37 and 783.51

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Solution

The fourth proportional to 834.25, 1,251.37 and 783.51 is: 1,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.25 : 1,251.37 = 783.51 : x
  2. Step 2: Convert to fraction form
    834.25/1,251.37 = 783.51/x
  3. Step 3: Cross multiply
    834.25x = 1,251.37 × 783.51
  4. Step 4: Simplify right side
    834.25x = 980,450.73
  5. Step 5: Solve for x
    x = 980,450.73/834.25
  6. Step 6: Final answer
    x = 1,175.25

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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.