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Finding the Fourth Proportional to 444.26, 668.86 and 406.02

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Solution

The fourth proportional to 444.26, 668.86 and 406.02 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 668.86 = 406.02 : x
  2. Step 2: Convert to fraction form
    444.26/668.86 = 406.02/x
  3. Step 3: Cross multiply
    444.26x = 668.86 × 406.02
  4. Step 4: Simplify right side
    444.26x = 271,570.54
  5. Step 5: Solve for x
    x = 271,570.54/444.26
  6. Step 6: Final answer
    x = 611.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.