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Finding the Fourth Proportional to 786.85, 1,178.44 and 698.90

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Solution

The fourth proportional to 786.85, 1,178.44 and 698.90 is: 1,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,178.44 = 698.90 : x
  2. Step 2: Convert to fraction form
    786.85/1,178.44 = 698.90/x
  3. Step 3: Cross multiply
    786.85x = 1,178.44 × 698.90
  4. Step 4: Simplify right side
    786.85x = 823,604.08
  5. Step 5: Solve for x
    x = 823,604.08/786.85
  6. Step 6: Final answer
    x = 1,046.71

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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.