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Finding the Fourth Proportional to 2,161.05, 3,240.99 and 600.65

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Solution

The fourth proportional to 2,161.05, 3,240.99 and 600.65 is: 900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.05 : 3,240.99 = 600.65 : x
  2. Step 2: Convert to fraction form
    2,161.05/3,240.99 = 600.65/x
  3. Step 3: Cross multiply
    2,161.05x = 3,240.99 × 600.65
  4. Step 4: Simplify right side
    2,161.05x = 1,946,684.44
  5. Step 5: Solve for x
    x = 1,946,684.44/2,161.05
  6. Step 6: Final answer
    x = 900.80

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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.