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Finding the Fourth Proportional to 2,202.13, 3,302.70 and 641.78

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Solution

The fourth proportional to 2,202.13, 3,302.70 and 641.78 is: 962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.13 : 3,302.70 = 641.78 : x
  2. Step 2: Convert to fraction form
    2,202.13/3,302.70 = 641.78/x
  3. Step 3: Cross multiply
    2,202.13x = 3,302.70 × 641.78
  4. Step 4: Simplify right side
    2,202.13x = 2,119,606.81
  5. Step 5: Solve for x
    x = 2,119,606.81/2,202.13
  6. Step 6: Final answer
    x = 962.53

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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.