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Finding the Fourth Proportional to 548.82, 824.43 and 446.26

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Solution

The fourth proportional to 548.82, 824.43 and 446.26 is: 670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.82 : 824.43 = 446.26 : x
  2. Step 2: Convert to fraction form
    548.82/824.43 = 446.26/x
  3. Step 3: Cross multiply
    548.82x = 824.43 × 446.26
  4. Step 4: Simplify right side
    548.82x = 367,910.13
  5. Step 5: Solve for x
    x = 367,910.13/548.82
  6. Step 6: Final answer
    x = 670.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.