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Finding the Fourth Proportional to 2,200.33, 3,300.51 and 640.34

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Solution

The fourth proportional to 2,200.33, 3,300.51 and 640.34 is: 960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.33 : 3,300.51 = 640.34 : x
  2. Step 2: Convert to fraction form
    2,200.33/3,300.51 = 640.34/x
  3. Step 3: Cross multiply
    2,200.33x = 3,300.51 × 640.34
  4. Step 4: Simplify right side
    2,200.33x = 2,113,441.45
  5. Step 5: Solve for x
    x = 2,113,441.45/2,200.33
  6. Step 6: Final answer
    x = 960.51

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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.