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Finding the Fourth Proportional to 854.82, 1,286.82 and 735.75

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Solution

The fourth proportional to 854.82, 1,286.82 and 735.75 is: 1,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,286.82 = 735.75 : x
  2. Step 2: Convert to fraction form
    854.82/1,286.82 = 735.75/x
  3. Step 3: Cross multiply
    854.82x = 1,286.82 × 735.75
  4. Step 4: Simplify right side
    854.82x = 946,777.82
  5. Step 5: Solve for x
    x = 946,777.82/854.82
  6. Step 6: Final answer
    x = 1,107.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.