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Finding the Fourth Proportional to 834.82, 1,252.22 and 257.69

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Solution

The fourth proportional to 834.82, 1,252.22 and 257.69 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.82 : 1,252.22 = 257.69 : x
  2. Step 2: Convert to fraction form
    834.82/1,252.22 = 257.69/x
  3. Step 3: Cross multiply
    834.82x = 1,252.22 × 257.69
  4. Step 4: Simplify right side
    834.82x = 322,684.57
  5. Step 5: Solve for x
    x = 322,684.57/834.82
  6. Step 6: Final answer
    x = 386.53

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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.