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Finding the Fourth Proportional to 2,201.23, 3,301.00 and 640.71

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Solution

The fourth proportional to 2,201.23, 3,301.00 and 640.71 is: 960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.23 : 3,301.00 = 640.71 : x
  2. Step 2: Convert to fraction form
    2,201.23/3,301.00 = 640.71/x
  3. Step 3: Cross multiply
    2,201.23x = 3,301.00 × 640.71
  4. Step 4: Simplify right side
    2,201.23x = 2,114,985.71
  5. Step 5: Solve for x
    x = 2,114,985.71/2,201.23
  6. Step 6: Final answer
    x = 960.82

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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.