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Finding the Fourth Proportional to 817.14, 1,224.75 and 329.54

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Solution

The fourth proportional to 817.14, 1,224.75 and 329.54 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.14 : 1,224.75 = 329.54 : x
  2. Step 2: Convert to fraction form
    817.14/1,224.75 = 329.54/x
  3. Step 3: Cross multiply
    817.14x = 1,224.75 × 329.54
  4. Step 4: Simplify right side
    817.14x = 403,604.12
  5. Step 5: Solve for x
    x = 403,604.12/817.14
  6. Step 6: Final answer
    x = 493.92

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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.