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Finding the Fourth Proportional to 500.05, 690.41 and 447.43

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Solution

The fourth proportional to 500.05, 690.41 and 447.43 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.05 : 690.41 = 447.43 : x
  2. Step 2: Convert to fraction form
    500.05/690.41 = 447.43/x
  3. Step 3: Cross multiply
    500.05x = 690.41 × 447.43
  4. Step 4: Simplify right side
    500.05x = 308,910.15
  5. Step 5: Solve for x
    x = 308,910.15/500.05
  6. Step 6: Final answer
    x = 617.76

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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.