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Finding the Fourth Proportional to 617.84, 927.32 and 329.84

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Solution

The fourth proportional to 617.84, 927.32 and 329.84 is: 495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 927.32 = 329.84 : x
  2. Step 2: Convert to fraction form
    617.84/927.32 = 329.84/x
  3. Step 3: Cross multiply
    617.84x = 927.32 × 329.84
  4. Step 4: Simplify right side
    617.84x = 305,867.23
  5. Step 5: Solve for x
    x = 305,867.23/617.84
  6. Step 6: Final answer
    x = 495.06

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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.