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Finding the Fourth Proportional to 771.92, 1,157.78 and 194.76

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Solution

The fourth proportional to 771.92, 1,157.78 and 194.76 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,157.78 = 194.76 : x
  2. Step 2: Convert to fraction form
    771.92/1,157.78 = 194.76/x
  3. Step 3: Cross multiply
    771.92x = 1,157.78 × 194.76
  4. Step 4: Simplify right side
    771.92x = 225,489.23
  5. Step 5: Solve for x
    x = 225,489.23/771.92
  6. Step 6: Final answer
    x = 292.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.