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Finding the Fourth Proportional to 410.73, 617.52 and 330.14

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Solution

The fourth proportional to 410.73, 617.52 and 330.14 is: 496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 617.52 = 330.14 : x
  2. Step 2: Convert to fraction form
    410.73/617.52 = 330.14/x
  3. Step 3: Cross multiply
    410.73x = 617.52 × 330.14
  4. Step 4: Simplify right side
    410.73x = 203,868.05
  5. Step 5: Solve for x
    x = 203,868.05/410.73
  6. Step 6: Final answer
    x = 496.36

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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.