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Finding the Fourth Proportional to 534.80, 801 and 329.12

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Solution

The fourth proportional to 534.80, 801 and 329.12 is: 492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 801 = 329.12 : x
  2. Step 2: Convert to fraction form
    534.80/801 = 329.12/x
  3. Step 3: Cross multiply
    534.80x = 801 × 329.12
  4. Step 4: Simplify right side
    534.80x = 263,625.12
  5. Step 5: Solve for x
    x = 263,625.12/534.80
  6. Step 6: Final answer
    x = 492.94

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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.