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Finding the Fourth Proportional to 801.50, 1,198.65 and 523.11

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Solution

The fourth proportional to 801.50, 1,198.65 and 523.11 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,198.65 = 523.11 : x
  2. Step 2: Convert to fraction form
    801.50/1,198.65 = 523.11/x
  3. Step 3: Cross multiply
    801.50x = 1,198.65 × 523.11
  4. Step 4: Simplify right side
    801.50x = 627,022.57
  5. Step 5: Solve for x
    x = 627,022.57/801.50
  6. Step 6: Final answer
    x = 782.32

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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.