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Finding the Fourth Proportional to 441.64, 666.32 and 440.43

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Solution

The fourth proportional to 441.64, 666.32 and 440.43 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 666.32 = 440.43 : x
  2. Step 2: Convert to fraction form
    441.64/666.32 = 440.43/x
  3. Step 3: Cross multiply
    441.64x = 666.32 × 440.43
  4. Step 4: Simplify right side
    441.64x = 293,467.32
  5. Step 5: Solve for x
    x = 293,467.32/441.64
  6. Step 6: Final answer
    x = 664.49

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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.