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Finding the Fourth Proportional to 2,199.48, 3,299.43 and 618.20

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Solution

The fourth proportional to 2,199.48, 3,299.43 and 618.20 is: 927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.48 : 3,299.43 = 618.20 : x
  2. Step 2: Convert to fraction form
    2,199.48/3,299.43 = 618.20/x
  3. Step 3: Cross multiply
    2,199.48x = 3,299.43 × 618.20
  4. Step 4: Simplify right side
    2,199.48x = 2,039,708.91
  5. Step 5: Solve for x
    x = 2,039,708.91/2,199.48
  6. Step 6: Final answer
    x = 927.36

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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.