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Finding the Fourth Proportional to 666.17, 994.37 and 617.97

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Solution

The fourth proportional to 666.17, 994.37 and 617.97 is: 922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.17 : 994.37 = 617.97 : x
  2. Step 2: Convert to fraction form
    666.17/994.37 = 617.97/x
  3. Step 3: Cross multiply
    666.17x = 994.37 × 617.97
  4. Step 4: Simplify right side
    666.17x = 614,492.37
  5. Step 5: Solve for x
    x = 614,492.37/666.17
  6. Step 6: Final answer
    x = 922.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.