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Finding the Fourth Proportional to 2,202.23, 3,302.50 and 641.71

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Solution

The fourth proportional to 2,202.23, 3,302.50 and 641.71 is: 962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.23 : 3,302.50 = 641.71 : x
  2. Step 2: Convert to fraction form
    2,202.23/3,302.50 = 641.71/x
  3. Step 3: Cross multiply
    2,202.23x = 3,302.50 × 641.71
  4. Step 4: Simplify right side
    2,202.23x = 2,119,247.28
  5. Step 5: Solve for x
    x = 2,119,247.28/2,202.23
  6. Step 6: Final answer
    x = 962.32

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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.