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Finding the Fourth Proportional to 1,327.78, 1,992.16 and 547.85

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Solution

The fourth proportional to 1,327.78, 1,992.16 and 547.85 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.78 : 1,992.16 = 547.85 : x
  2. Step 2: Convert to fraction form
    1,327.78/1,992.16 = 547.85/x
  3. Step 3: Cross multiply
    1,327.78x = 1,992.16 × 547.85
  4. Step 4: Simplify right side
    1,327.78x = 1,091,395.52
  5. Step 5: Solve for x
    x = 1,091,395.52/1,327.78
  6. Step 6: Final answer
    x = 821.97

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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.