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Finding the Fourth Proportional to 441.75, 659.27 and 412.41

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Solution

The fourth proportional to 441.75, 659.27 and 412.41 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 659.27 = 412.41 : x
  2. Step 2: Convert to fraction form
    441.75/659.27 = 412.41/x
  3. Step 3: Cross multiply
    441.75x = 659.27 × 412.41
  4. Step 4: Simplify right side
    441.75x = 271,887.48
  5. Step 5: Solve for x
    x = 271,887.48/441.75
  6. Step 6: Final answer
    x = 615.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.