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Finding the Fourth Proportional to 809.64, 1,215.90 and 798.12

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Solution

The fourth proportional to 809.64, 1,215.90 and 798.12 is: 1,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.64 : 1,215.90 = 798.12 : x
  2. Step 2: Convert to fraction form
    809.64/1,215.90 = 798.12/x
  3. Step 3: Cross multiply
    809.64x = 1,215.90 × 798.12
  4. Step 4: Simplify right side
    809.64x = 970,434.11
  5. Step 5: Solve for x
    x = 970,434.11/809.64
  6. Step 6: Final answer
    x = 1,198.60

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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.