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Finding the Fourth Proportional to 961.02, 1,322.55 and 850.86

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Solution

The fourth proportional to 961.02, 1,322.55 and 850.86 is: 1,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.02 : 1,322.55 = 850.86 : x
  2. Step 2: Convert to fraction form
    961.02/1,322.55 = 850.86/x
  3. Step 3: Cross multiply
    961.02x = 1,322.55 × 850.86
  4. Step 4: Simplify right side
    961.02x = 1,125,304.89
  5. Step 5: Solve for x
    x = 1,125,304.89/961.02
  6. Step 6: Final answer
    x = 1,170.95

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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.