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Finding the Fourth Proportional to 643.11, 962.22 and 369.33

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Solution

The fourth proportional to 643.11, 962.22 and 369.33 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.11 : 962.22 = 369.33 : x
  2. Step 2: Convert to fraction form
    643.11/962.22 = 369.33/x
  3. Step 3: Cross multiply
    643.11x = 962.22 × 369.33
  4. Step 4: Simplify right side
    643.11x = 355,376.71
  5. Step 5: Solve for x
    x = 355,376.71/643.11
  6. Step 6: Final answer
    x = 552.59

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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.