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Finding the Fourth Proportional to 617.91, 926.91 and 252.71

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Solution

The fourth proportional to 617.91, 926.91 and 252.71 is: 379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 926.91 = 252.71 : x
  2. Step 2: Convert to fraction form
    617.91/926.91 = 252.71/x
  3. Step 3: Cross multiply
    617.91x = 926.91 × 252.71
  4. Step 4: Simplify right side
    617.91x = 234,234.79
  5. Step 5: Solve for x
    x = 234,234.79/617.91
  6. Step 6: Final answer
    x = 379.08

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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.