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Finding the Fourth Proportional to 855.98, 1,286.10 and 547.97

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Solution

The fourth proportional to 855.98, 1,286.10 and 547.97 is: 823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.98 : 1,286.10 = 547.97 : x
  2. Step 2: Convert to fraction form
    855.98/1,286.10 = 547.97/x
  3. Step 3: Cross multiply
    855.98x = 1,286.10 × 547.97
  4. Step 4: Simplify right side
    855.98x = 704,744.22
  5. Step 5: Solve for x
    x = 704,744.22/855.98
  6. Step 6: Final answer
    x = 823.32

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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.