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Finding the Fourth Proportional to 649.17, 975.38 and 406.17

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Solution

The fourth proportional to 649.17, 975.38 and 406.17 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 975.38 = 406.17 : x
  2. Step 2: Convert to fraction form
    649.17/975.38 = 406.17/x
  3. Step 3: Cross multiply
    649.17x = 975.38 × 406.17
  4. Step 4: Simplify right side
    649.17x = 396,168.06
  5. Step 5: Solve for x
    x = 396,168.06/649.17
  6. Step 6: Final answer
    x = 610.27

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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.