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Finding the Fourth Proportional to 960.81, 1,321.50 and 791.57

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Solution

The fourth proportional to 960.81, 1,321.50 and 791.57 is: 1,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.81 : 1,321.50 = 791.57 : x
  2. Step 2: Convert to fraction form
    960.81/1,321.50 = 791.57/x
  3. Step 3: Cross multiply
    960.81x = 1,321.50 × 791.57
  4. Step 4: Simplify right side
    960.81x = 1,046,053.15
  5. Step 5: Solve for x
    x = 1,046,053.15/960.81
  6. Step 6: Final answer
    x = 1,088.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.