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Finding the Fourth Proportional to 801.20, 1,096.78 and 776.36

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Solution

The fourth proportional to 801.20, 1,096.78 and 776.36 is: 1,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,096.78 = 776.36 : x
  2. Step 2: Convert to fraction form
    801.20/1,096.78 = 776.36/x
  3. Step 3: Cross multiply
    801.20x = 1,096.78 × 776.36
  4. Step 4: Simplify right side
    801.20x = 851,496.12
  5. Step 5: Solve for x
    x = 851,496.12/801.20
  6. Step 6: Final answer
    x = 1,062.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.