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Finding the Fourth Proportional to 838.89, 1,252.68 and 685.11

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Solution

The fourth proportional to 838.89, 1,252.68 and 685.11 is: 1,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.89 : 1,252.68 = 685.11 : x
  2. Step 2: Convert to fraction form
    838.89/1,252.68 = 685.11/x
  3. Step 3: Cross multiply
    838.89x = 1,252.68 × 685.11
  4. Step 4: Simplify right side
    838.89x = 858,229.58
  5. Step 5: Solve for x
    x = 858,229.58/838.89
  6. Step 6: Final answer
    x = 1,023.05

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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.