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Finding the Fourth Proportional to 965.15, 1,453.17 and 850.33

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Solution

The fourth proportional to 965.15, 1,453.17 and 850.33 is: 1,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.15 : 1,453.17 = 850.33 : x
  2. Step 2: Convert to fraction form
    965.15/1,453.17 = 850.33/x
  3. Step 3: Cross multiply
    965.15x = 1,453.17 × 850.33
  4. Step 4: Simplify right side
    965.15x = 1,235,679.05
  5. Step 5: Solve for x
    x = 1,235,679.05/965.15
  6. Step 6: Final answer
    x = 1,280.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.