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Finding the Fourth Proportional to 838.82, 1,252.58 and 685.05

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Solution

The fourth proportional to 838.82, 1,252.58 and 685.05 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.82 : 1,252.58 = 685.05 : x
  2. Step 2: Convert to fraction form
    838.82/1,252.58 = 685.05/x
  3. Step 3: Cross multiply
    838.82x = 1,252.58 × 685.05
  4. Step 4: Simplify right side
    838.82x = 858,073.73
  5. Step 5: Solve for x
    x = 858,073.73/838.82
  6. Step 6: Final answer
    x = 1,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.