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Finding the Fourth Proportional to 816.36, 1,217.22 and 801.78

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Solution

The fourth proportional to 816.36, 1,217.22 and 801.78 is: 1,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.36 : 1,217.22 = 801.78 : x
  2. Step 2: Convert to fraction form
    816.36/1,217.22 = 801.78/x
  3. Step 3: Cross multiply
    816.36x = 1,217.22 × 801.78
  4. Step 4: Simplify right side
    816.36x = 975,942.65
  5. Step 5: Solve for x
    x = 975,942.65/816.36
  6. Step 6: Final answer
    x = 1,195.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.