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Finding the Fourth Proportional to 2,200.63, 3,301.46 and 640.66

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Solution

The fourth proportional to 2,200.63, 3,301.46 and 640.66 is: 961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.63 : 3,301.46 = 640.66 : x
  2. Step 2: Convert to fraction form
    2,200.63/3,301.46 = 640.66/x
  3. Step 3: Cross multiply
    2,200.63x = 3,301.46 × 640.66
  4. Step 4: Simplify right side
    2,200.63x = 2,115,113.36
  5. Step 5: Solve for x
    x = 2,115,113.36/2,200.63
  6. Step 6: Final answer
    x = 961.14

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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.