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Finding the Fourth Proportional to 776.25, 1,163.15 and 660.22

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Solution

The fourth proportional to 776.25, 1,163.15 and 660.22 is: 989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,163.15 = 660.22 : x
  2. Step 2: Convert to fraction form
    776.25/1,163.15 = 660.22/x
  3. Step 3: Cross multiply
    776.25x = 1,163.15 × 660.22
  4. Step 4: Simplify right side
    776.25x = 767,934.89
  5. Step 5: Solve for x
    x = 767,934.89/776.25
  6. Step 6: Final answer
    x = 989.29

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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.