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Finding the Fourth Proportional to 649.92, 976.50 and 406.92

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Solution

The fourth proportional to 649.92, 976.50 and 406.92 is: 611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 976.50 = 406.92 : x
  2. Step 2: Convert to fraction form
    649.92/976.50 = 406.92/x
  3. Step 3: Cross multiply
    649.92x = 976.50 × 406.92
  4. Step 4: Simplify right side
    649.92x = 397,357.38
  5. Step 5: Solve for x
    x = 397,357.38/649.92
  6. Step 6: Final answer
    x = 611.39

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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.