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Finding the Fourth Proportional to 2,202.02, 3,302.50 and 641.60

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Solution

The fourth proportional to 2,202.02, 3,302.50 and 641.60 is: 962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.02 : 3,302.50 = 641.60 : x
  2. Step 2: Convert to fraction form
    2,202.02/3,302.50 = 641.60/x
  3. Step 3: Cross multiply
    2,202.02x = 3,302.50 × 641.60
  4. Step 4: Simplify right side
    2,202.02x = 2,118,884
  5. Step 5: Solve for x
    x = 2,118,884/2,202.02
  6. Step 6: Final answer
    x = 962.25

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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.