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Finding the Fourth Proportional to 640.67, 961.45 and 397.34

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Solution

The fourth proportional to 640.67, 961.45 and 397.34 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.67 : 961.45 = 397.34 : x
  2. Step 2: Convert to fraction form
    640.67/961.45 = 397.34/x
  3. Step 3: Cross multiply
    640.67x = 961.45 × 397.34
  4. Step 4: Simplify right side
    640.67x = 382,016.74
  5. Step 5: Solve for x
    x = 382,016.74/640.67
  6. Step 6: Final answer
    x = 596.27

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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.