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Finding the Fourth Proportional to 771.50, 1,157.17 and 194.38

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Solution

The fourth proportional to 771.50, 1,157.17 and 194.38 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,157.17 = 194.38 : x
  2. Step 2: Convert to fraction form
    771.50/1,157.17 = 194.38/x
  3. Step 3: Cross multiply
    771.50x = 1,157.17 × 194.38
  4. Step 4: Simplify right side
    771.50x = 224,923.95
  5. Step 5: Solve for x
    x = 224,923.95/771.50
  6. Step 6: Final answer
    x = 291.54

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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.