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Finding the Fourth Proportional to 781.46, 1,172.05 and 294.43

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Solution

The fourth proportional to 781.46, 1,172.05 and 294.43 is: 441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.46 : 1,172.05 = 294.43 : x
  2. Step 2: Convert to fraction form
    781.46/1,172.05 = 294.43/x
  3. Step 3: Cross multiply
    781.46x = 1,172.05 × 294.43
  4. Step 4: Simplify right side
    781.46x = 345,086.68
  5. Step 5: Solve for x
    x = 345,086.68/781.46
  6. Step 6: Final answer
    x = 441.59

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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.