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Finding the Fourth Proportional to 643.14, 963.94 and 369.36

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Solution

The fourth proportional to 643.14, 963.94 and 369.36 is: 553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 963.94 = 369.36 : x
  2. Step 2: Convert to fraction form
    643.14/963.94 = 369.36/x
  3. Step 3: Cross multiply
    643.14x = 963.94 × 369.36
  4. Step 4: Simplify right side
    643.14x = 356,040.88
  5. Step 5: Solve for x
    x = 356,040.88/643.14
  6. Step 6: Final answer
    x = 553.60

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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.