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Finding the Fourth Proportional to 801.87, 1,202.86 and 281.81

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Solution

The fourth proportional to 801.87, 1,202.86 and 281.81 is: 422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.87 : 1,202.86 = 281.81 : x
  2. Step 2: Convert to fraction form
    801.87/1,202.86 = 281.81/x
  3. Step 3: Cross multiply
    801.87x = 1,202.86 × 281.81
  4. Step 4: Simplify right side
    801.87x = 338,977.98
  5. Step 5: Solve for x
    x = 338,977.98/801.87
  6. Step 6: Final answer
    x = 422.73

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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.