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Finding the Fourth Proportional to 773.89, 1,160.85 and 196.75

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Solution

The fourth proportional to 773.89, 1,160.85 and 196.75 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,160.85 = 196.75 : x
  2. Step 2: Convert to fraction form
    773.89/1,160.85 = 196.75/x
  3. Step 3: Cross multiply
    773.89x = 1,160.85 × 196.75
  4. Step 4: Simplify right side
    773.89x = 228,397.24
  5. Step 5: Solve for x
    x = 228,397.24/773.89
  6. Step 6: Final answer
    x = 295.13

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Double scale
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Similar ratio
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1.5x scale

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.