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Finding the Fourth Proportional to 1,202.53, 1,804.05 and 422.65

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Solution

The fourth proportional to 1,202.53, 1,804.05 and 422.65 is: 634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.53 : 1,804.05 = 422.65 : x
  2. Step 2: Convert to fraction form
    1,202.53/1,804.05 = 422.65/x
  3. Step 3: Cross multiply
    1,202.53x = 1,804.05 × 422.65
  4. Step 4: Simplify right side
    1,202.53x = 762,481.73
  5. Step 5: Solve for x
    x = 762,481.73/1,202.53
  6. Step 6: Final answer
    x = 634.06

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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.