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Finding the Fourth Proportional to 511.38, 764.98 and 408.87

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Solution

The fourth proportional to 511.38, 764.98 and 408.87 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 764.98 = 408.87 : x
  2. Step 2: Convert to fraction form
    511.38/764.98 = 408.87/x
  3. Step 3: Cross multiply
    511.38x = 764.98 × 408.87
  4. Step 4: Simplify right side
    511.38x = 312,777.37
  5. Step 5: Solve for x
    x = 312,777.37/511.38
  6. Step 6: Final answer
    x = 611.63

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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.