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Finding the Fourth Proportional to 441.20, 659.91 and 429.41

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Solution

The fourth proportional to 441.20, 659.91 and 429.41 is: 642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 659.91 = 429.41 : x
  2. Step 2: Convert to fraction form
    441.20/659.91 = 429.41/x
  3. Step 3: Cross multiply
    441.20x = 659.91 × 429.41
  4. Step 4: Simplify right side
    441.20x = 283,371.95
  5. Step 5: Solve for x
    x = 283,371.95/441.20
  6. Step 6: Final answer
    x = 642.28

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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.