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Finding the Fourth Proportional to 774.60, 1,163.64 and 670.83

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Solution

The fourth proportional to 774.60, 1,163.64 and 670.83 is: 1,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,163.64 = 670.83 : x
  2. Step 2: Convert to fraction form
    774.60/1,163.64 = 670.83/x
  3. Step 3: Cross multiply
    774.60x = 1,163.64 × 670.83
  4. Step 4: Simplify right side
    774.60x = 780,604.62
  5. Step 5: Solve for x
    x = 780,604.62/774.60
  6. Step 6: Final answer
    x = 1,007.75

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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.