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Finding the Fourth Proportional to 499.44, 688.96 and 324.60

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Solution

The fourth proportional to 499.44, 688.96 and 324.60 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 688.96 = 324.60 : x
  2. Step 2: Convert to fraction form
    499.44/688.96 = 324.60/x
  3. Step 3: Cross multiply
    499.44x = 688.96 × 324.60
  4. Step 4: Simplify right side
    499.44x = 223,636.42
  5. Step 5: Solve for x
    x = 223,636.42/499.44
  6. Step 6: Final answer
    x = 447.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.