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Finding the Fourth Proportional to 2,202.68, 3,303.54 and 642.68

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Solution

The fourth proportional to 2,202.68, 3,303.54 and 642.68 is: 963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.68 : 3,303.54 = 642.68 : x
  2. Step 2: Convert to fraction form
    2,202.68/3,303.54 = 642.68/x
  3. Step 3: Cross multiply
    2,202.68x = 3,303.54 × 642.68
  4. Step 4: Simplify right side
    2,202.68x = 2,123,119.09
  5. Step 5: Solve for x
    x = 2,123,119.09/2,202.68
  6. Step 6: Final answer
    x = 963.88

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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.