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Finding the Fourth Proportional to 764.38, 1,146.57 and 308.38

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Solution

The fourth proportional to 764.38, 1,146.57 and 308.38 is: 462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.38 : 1,146.57 = 308.38 : x
  2. Step 2: Convert to fraction form
    764.38/1,146.57 = 308.38/x
  3. Step 3: Cross multiply
    764.38x = 1,146.57 × 308.38
  4. Step 4: Simplify right side
    764.38x = 353,571.98
  5. Step 5: Solve for x
    x = 353,571.98/764.38
  6. Step 6: Final answer
    x = 462.56

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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.