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Finding the Fourth Proportional to 855.12, 1,185.51 and 825.09

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Solution

The fourth proportional to 855.12, 1,185.51 and 825.09 is: 1,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.12 : 1,185.51 = 825.09 : x
  2. Step 2: Convert to fraction form
    855.12/1,185.51 = 825.09/x
  3. Step 3: Cross multiply
    855.12x = 1,185.51 × 825.09
  4. Step 4: Simplify right side
    855.12x = 978,152.45
  5. Step 5: Solve for x
    x = 978,152.45/855.12
  6. Step 6: Final answer
    x = 1,143.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.