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Finding the Fourth Proportional to 781.27, 1,172.22 and 294.46

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Solution

The fourth proportional to 781.27, 1,172.22 and 294.46 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.27 : 1,172.22 = 294.46 : x
  2. Step 2: Convert to fraction form
    781.27/1,172.22 = 294.46/x
  3. Step 3: Cross multiply
    781.27x = 1,172.22 × 294.46
  4. Step 4: Simplify right side
    781.27x = 345,167.87
  5. Step 5: Solve for x
    x = 345,167.87/781.27
  6. Step 6: Final answer
    x = 441.80

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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.