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Finding the Fourth Proportional to 666, 997.56 and 418.37

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Solution

The fourth proportional to 666, 997.56 and 418.37 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666 : 997.56 = 418.37 : x
  2. Step 2: Convert to fraction form
    666/997.56 = 418.37/x
  3. Step 3: Cross multiply
    666x = 997.56 × 418.37
  4. Step 4: Simplify right side
    666x = 417,344.19
  5. Step 5: Solve for x
    x = 417,344.19/666
  6. Step 6: Final answer
    x = 626.64

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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.