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Finding the Fourth Proportional to 441.36, 658.82 and 412.88

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Solution

The fourth proportional to 441.36, 658.82 and 412.88 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.36 : 658.82 = 412.88 : x
  2. Step 2: Convert to fraction form
    441.36/658.82 = 412.88/x
  3. Step 3: Cross multiply
    441.36x = 658.82 × 412.88
  4. Step 4: Simplify right side
    441.36x = 272,013.60
  5. Step 5: Solve for x
    x = 272,013.60/441.36
  6. Step 6: Final answer
    x = 616.31

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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.