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Finding the Fourth Proportional to 441.28, 664.84 and 399.64

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Solution

The fourth proportional to 441.28, 664.84 and 399.64 is: 602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.28 : 664.84 = 399.64 : x
  2. Step 2: Convert to fraction form
    441.28/664.84 = 399.64/x
  3. Step 3: Cross multiply
    441.28x = 664.84 × 399.64
  4. Step 4: Simplify right side
    441.28x = 265,696.66
  5. Step 5: Solve for x
    x = 265,696.66/441.28
  6. Step 6: Final answer
    x = 602.10

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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.