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Finding the Fourth Proportional to 666.62, 1,001.37 and 644.75

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Solution

The fourth proportional to 666.62, 1,001.37 and 644.75 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.62 : 1,001.37 = 644.75 : x
  2. Step 2: Convert to fraction form
    666.62/1,001.37 = 644.75/x
  3. Step 3: Cross multiply
    666.62x = 1,001.37 × 644.75
  4. Step 4: Simplify right side
    666.62x = 645,630.72
  5. Step 5: Solve for x
    x = 645,630.72/666.62
  6. Step 6: Final answer
    x = 968.52

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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.