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Finding the Fourth Proportional to 643.27, 962.91 and 496.65

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Solution

The fourth proportional to 643.27, 962.91 and 496.65 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.27 : 962.91 = 496.65 : x
  2. Step 2: Convert to fraction form
    643.27/962.91 = 496.65/x
  3. Step 3: Cross multiply
    643.27x = 962.91 × 496.65
  4. Step 4: Simplify right side
    643.27x = 478,229.25
  5. Step 5: Solve for x
    x = 478,229.25/643.27
  6. Step 6: Final answer
    x = 743.43

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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.