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Finding the Fourth Proportional to 855.59, 1,181.66 and 781.88

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Solution

The fourth proportional to 855.59, 1,181.66 and 781.88 is: 1,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.59 : 1,181.66 = 781.88 : x
  2. Step 2: Convert to fraction form
    855.59/1,181.66 = 781.88/x
  3. Step 3: Cross multiply
    855.59x = 1,181.66 × 781.88
  4. Step 4: Simplify right side
    855.59x = 923,906.50
  5. Step 5: Solve for x
    x = 923,906.50/855.59
  6. Step 6: Final answer
    x = 1,079.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.