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Finding the Fourth Proportional to 617.71, 926.57 and 329.71

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Solution

The fourth proportional to 617.71, 926.57 and 329.71 is: 494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.71 : 926.57 = 329.71 : x
  2. Step 2: Convert to fraction form
    617.71/926.57 = 329.71/x
  3. Step 3: Cross multiply
    617.71x = 926.57 × 329.71
  4. Step 4: Simplify right side
    617.71x = 305,499.39
  5. Step 5: Solve for x
    x = 305,499.39/617.71
  6. Step 6: Final answer
    x = 494.57

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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.