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Finding the Fourth Proportional to 499.77, 749.11 and 326.56

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Solution

The fourth proportional to 499.77, 749.11 and 326.56 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.77 : 749.11 = 326.56 : x
  2. Step 2: Convert to fraction form
    499.77/749.11 = 326.56/x
  3. Step 3: Cross multiply
    499.77x = 749.11 × 326.56
  4. Step 4: Simplify right side
    499.77x = 244,629.36
  5. Step 5: Solve for x
    x = 244,629.36/499.77
  6. Step 6: Final answer
    x = 489.48

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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.