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Finding the Fourth Proportional to 2,202.23, 3,302.82 and 641.87

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Solution

The fourth proportional to 2,202.23, 3,302.82 and 641.87 is: 962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.23 : 3,302.82 = 641.87 : x
  2. Step 2: Convert to fraction form
    2,202.23/3,302.82 = 641.87/x
  3. Step 3: Cross multiply
    2,202.23x = 3,302.82 × 641.87
  4. Step 4: Simplify right side
    2,202.23x = 2,119,964.56
  5. Step 5: Solve for x
    x = 2,119,964.56/2,202.23
  6. Step 6: Final answer
    x = 962.65

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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.