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Finding the Fourth Proportional to 617.94, 927.01 and 207.11

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Solution

The fourth proportional to 617.94, 927.01 and 207.11 is: 310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 927.01 = 207.11 : x
  2. Step 2: Convert to fraction form
    617.94/927.01 = 207.11/x
  3. Step 3: Cross multiply
    617.94x = 927.01 × 207.11
  4. Step 4: Simplify right side
    617.94x = 191,995.62
  5. Step 5: Solve for x
    x = 191,995.62/617.94
  6. Step 6: Final answer
    x = 310.70

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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.