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Finding the Fourth Proportional to 508.73, 759.41 and 447.22

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Solution

The fourth proportional to 508.73, 759.41 and 447.22 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.73 : 759.41 = 447.22 : x
  2. Step 2: Convert to fraction form
    508.73/759.41 = 447.22/x
  3. Step 3: Cross multiply
    508.73x = 759.41 × 447.22
  4. Step 4: Simplify right side
    508.73x = 339,623.34
  5. Step 5: Solve for x
    x = 339,623.34/508.73
  6. Step 6: Final answer
    x = 667.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.