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Finding the Fourth Proportional to 666.20, 1,001.46 and 662.96

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Solution

The fourth proportional to 666.20, 1,001.46 and 662.96 is: 996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.20 : 1,001.46 = 662.96 : x
  2. Step 2: Convert to fraction form
    666.20/1,001.46 = 662.96/x
  3. Step 3: Cross multiply
    666.20x = 1,001.46 × 662.96
  4. Step 4: Simplify right side
    666.20x = 663,927.92
  5. Step 5: Solve for x
    x = 663,927.92/666.20
  6. Step 6: Final answer
    x = 996.59

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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.