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Finding the Fourth Proportional to 643.85, 967.37 and 412.85

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Solution

The fourth proportional to 643.85, 967.37 and 412.85 is: 620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.85 : 967.37 = 412.85 : x
  2. Step 2: Convert to fraction form
    643.85/967.37 = 412.85/x
  3. Step 3: Cross multiply
    643.85x = 967.37 × 412.85
  4. Step 4: Simplify right side
    643.85x = 399,371.80
  5. Step 5: Solve for x
    x = 399,371.80/643.85
  6. Step 6: Final answer
    x = 620.29

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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.