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Finding the Fourth Proportional to 499.23, 747.60 and 344.73

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Solution

The fourth proportional to 499.23, 747.60 and 344.73 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 747.60 = 344.73 : x
  2. Step 2: Convert to fraction form
    499.23/747.60 = 344.73/x
  3. Step 3: Cross multiply
    499.23x = 747.60 × 344.73
  4. Step 4: Simplify right side
    499.23x = 257,720.15
  5. Step 5: Solve for x
    x = 257,720.15/499.23
  6. Step 6: Final answer
    x = 516.24

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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.