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Finding the Fourth Proportional to 829.73, 1,244.28 and 329.25

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Solution

The fourth proportional to 829.73, 1,244.28 and 329.25 is: 493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.73 : 1,244.28 = 329.25 : x
  2. Step 2: Convert to fraction form
    829.73/1,244.28 = 329.25/x
  3. Step 3: Cross multiply
    829.73x = 1,244.28 × 329.25
  4. Step 4: Simplify right side
    829.73x = 409,676.24
  5. Step 5: Solve for x
    x = 409,676.24/829.73
  6. Step 6: Final answer
    x = 493.75

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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.