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Finding the Fourth Proportional to 427.45, 639.14 and 329.84

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Solution

The fourth proportional to 427.45, 639.14 and 329.84 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 639.14 = 329.84 : x
  2. Step 2: Convert to fraction form
    427.45/639.14 = 329.84/x
  3. Step 3: Cross multiply
    427.45x = 639.14 × 329.84
  4. Step 4: Simplify right side
    427.45x = 210,813.94
  5. Step 5: Solve for x
    x = 210,813.94/427.45
  6. Step 6: Final answer
    x = 493.19

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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.