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Finding the Fourth Proportional to 1,818.06, 2,727.09 and 663.90

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Solution

The fourth proportional to 1,818.06, 2,727.09 and 663.90 is: 995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.06 : 2,727.09 = 663.90 : x
  2. Step 2: Convert to fraction form
    1,818.06/2,727.09 = 663.90/x
  3. Step 3: Cross multiply
    1,818.06x = 2,727.09 × 663.90
  4. Step 4: Simplify right side
    1,818.06x = 1,810,515.05
  5. Step 5: Solve for x
    x = 1,810,515.05/1,818.06
  6. Step 6: Final answer
    x = 995.85

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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.