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Finding the Fourth Proportional to 794.46, 1,189.17 and 764.22

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Solution

The fourth proportional to 794.46, 1,189.17 and 764.22 is: 1,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,189.17 = 764.22 : x
  2. Step 2: Convert to fraction form
    794.46/1,189.17 = 764.22/x
  3. Step 3: Cross multiply
    794.46x = 1,189.17 × 764.22
  4. Step 4: Simplify right side
    794.46x = 908,787.50
  5. Step 5: Solve for x
    x = 908,787.50/794.46
  6. Step 6: Final answer
    x = 1,143.91

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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.