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Finding the Fourth Proportional to 499.22, 688.74 and 324.50

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Solution

The fourth proportional to 499.22, 688.74 and 324.50 is: 447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 688.74 = 324.50 : x
  2. Step 2: Convert to fraction form
    499.22/688.74 = 324.50/x
  3. Step 3: Cross multiply
    499.22x = 688.74 × 324.50
  4. Step 4: Simplify right side
    499.22x = 223,496.13
  5. Step 5: Solve for x
    x = 223,496.13/499.22
  6. Step 6: Final answer
    x = 447.69

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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.