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Finding the Fourth Proportional to 776.50, 1,163.90 and 685.42

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Solution

The fourth proportional to 776.50, 1,163.90 and 685.42 is: 1,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,163.90 = 685.42 : x
  2. Step 2: Convert to fraction form
    776.50/1,163.90 = 685.42/x
  3. Step 3: Cross multiply
    776.50x = 1,163.90 × 685.42
  4. Step 4: Simplify right side
    776.50x = 797,756.91
  5. Step 5: Solve for x
    x = 797,756.91/776.50
  6. Step 6: Final answer
    x = 1,027.38

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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.