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Finding the Fourth Proportional to 643.48, 965.54 and 232.95

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Solution

The fourth proportional to 643.48, 965.54 and 232.95 is: 349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 965.54 = 232.95 : x
  2. Step 2: Convert to fraction form
    643.48/965.54 = 232.95/x
  3. Step 3: Cross multiply
    643.48x = 965.54 × 232.95
  4. Step 4: Simplify right side
    643.48x = 224,922.54
  5. Step 5: Solve for x
    x = 224,922.54/643.48
  6. Step 6: Final answer
    x = 349.54

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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.