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Finding the Fourth Proportional to 649.38, 975.59 and 406.08

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Solution

The fourth proportional to 649.38, 975.59 and 406.08 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 975.59 = 406.08 : x
  2. Step 2: Convert to fraction form
    649.38/975.59 = 406.08/x
  3. Step 3: Cross multiply
    649.38x = 975.59 × 406.08
  4. Step 4: Simplify right side
    649.38x = 396,165.56
  5. Step 5: Solve for x
    x = 396,165.56/649.38
  6. Step 6: Final answer
    x = 610.07

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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.