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Finding the Fourth Proportional to 771.80, 1,157.68 and 194.66

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Solution

The fourth proportional to 771.80, 1,157.68 and 194.66 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.80 : 1,157.68 = 194.66 : x
  2. Step 2: Convert to fraction form
    771.80/1,157.68 = 194.66/x
  3. Step 3: Cross multiply
    771.80x = 1,157.68 × 194.66
  4. Step 4: Simplify right side
    771.80x = 225,353.99
  5. Step 5: Solve for x
    x = 225,353.99/771.80
  6. Step 6: Final answer
    x = 291.98

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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.