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Finding the Fourth Proportional to 640.54, 961.23 and 397.24

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Solution

The fourth proportional to 640.54, 961.23 and 397.24 is: 596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.54 : 961.23 = 397.24 : x
  2. Step 2: Convert to fraction form
    640.54/961.23 = 397.24/x
  3. Step 3: Cross multiply
    640.54x = 961.23 × 397.24
  4. Step 4: Simplify right side
    640.54x = 381,838.09
  5. Step 5: Solve for x
    x = 381,838.09/640.54
  6. Step 6: Final answer
    x = 596.12

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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.