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Finding the Fourth Proportional to 781.47, 1,172.20 and 294.39

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Solution

The fourth proportional to 781.47, 1,172.20 and 294.39 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.47 : 1,172.20 = 294.39 : x
  2. Step 2: Convert to fraction form
    781.47/1,172.20 = 294.39/x
  3. Step 3: Cross multiply
    781.47x = 1,172.20 × 294.39
  4. Step 4: Simplify right side
    781.47x = 345,078.10
  5. Step 5: Solve for x
    x = 345,078.10/781.47
  6. Step 6: Final answer
    x = 441.58

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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.