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Finding the Fourth Proportional to 643.72, 965.16 and 355.36

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Solution

The fourth proportional to 643.72, 965.16 and 355.36 is: 532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.72 : 965.16 = 355.36 : x
  2. Step 2: Convert to fraction form
    643.72/965.16 = 355.36/x
  3. Step 3: Cross multiply
    643.72x = 965.16 × 355.36
  4. Step 4: Simplify right side
    643.72x = 342,979.26
  5. Step 5: Solve for x
    x = 342,979.26/643.72
  6. Step 6: Final answer
    x = 532.81

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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.