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Finding the Fourth Proportional to 643.07, 963.63 and 369.23

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Solution

The fourth proportional to 643.07, 963.63 and 369.23 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.07 : 963.63 = 369.23 : x
  2. Step 2: Convert to fraction form
    643.07/963.63 = 369.23/x
  3. Step 3: Cross multiply
    643.07x = 963.63 × 369.23
  4. Step 4: Simplify right side
    643.07x = 355,796.29
  5. Step 5: Solve for x
    x = 355,796.29/643.07
  6. Step 6: Final answer
    x = 553.28

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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.