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Finding the Fourth Proportional to 499.01, 688.97 and 324.59

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Solution

The fourth proportional to 499.01, 688.97 and 324.59 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.01 : 688.97 = 324.59 : x
  2. Step 2: Convert to fraction form
    499.01/688.97 = 324.59/x
  3. Step 3: Cross multiply
    499.01x = 688.97 × 324.59
  4. Step 4: Simplify right side
    499.01x = 223,630.14
  5. Step 5: Solve for x
    x = 223,630.14/499.01
  6. Step 6: Final answer
    x = 448.15

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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.