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Finding the Fourth Proportional to 777.28, 1,166.08 and 699.82

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Solution

The fourth proportional to 777.28, 1,166.08 and 699.82 is: 1,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.28 : 1,166.08 = 699.82 : x
  2. Step 2: Convert to fraction form
    777.28/1,166.08 = 699.82/x
  3. Step 3: Cross multiply
    777.28x = 1,166.08 × 699.82
  4. Step 4: Simplify right side
    777.28x = 816,046.11
  5. Step 5: Solve for x
    x = 816,046.11/777.28
  6. Step 6: Final answer
    x = 1,049.87

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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.