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Finding the Fourth Proportional to 666.57, 997.80 and 422.34

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Solution

The fourth proportional to 666.57, 997.80 and 422.34 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.57 : 997.80 = 422.34 : x
  2. Step 2: Convert to fraction form
    666.57/997.80 = 422.34/x
  3. Step 3: Cross multiply
    666.57x = 997.80 × 422.34
  4. Step 4: Simplify right side
    666.57x = 421,410.85
  5. Step 5: Solve for x
    x = 421,410.85/666.57
  6. Step 6: Final answer
    x = 632.21

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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.