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Finding the Fourth Proportional to 1,213.09, 1,818.22 and 665.73

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Solution

The fourth proportional to 1,213.09, 1,818.22 and 665.73 is: 997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.09 : 1,818.22 = 665.73 : x
  2. Step 2: Convert to fraction form
    1,213.09/1,818.22 = 665.73/x
  3. Step 3: Cross multiply
    1,213.09x = 1,818.22 × 665.73
  4. Step 4: Simplify right side
    1,213.09x = 1,210,443.60
  5. Step 5: Solve for x
    x = 1,210,443.60/1,213.09
  6. Step 6: Final answer
    x = 997.82

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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.