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Finding the Fourth Proportional to 997.19, 1,494.46 and 765.19

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Solution

The fourth proportional to 997.19, 1,494.46 and 765.19 is: 1,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.19 : 1,494.46 = 765.19 : x
  2. Step 2: Convert to fraction form
    997.19/1,494.46 = 765.19/x
  3. Step 3: Cross multiply
    997.19x = 1,494.46 × 765.19
  4. Step 4: Simplify right side
    997.19x = 1,143,540.20
  5. Step 5: Solve for x
    x = 1,143,540.20/997.19
  6. Step 6: Final answer
    x = 1,146.77

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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.