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Finding the Fourth Proportional to 643.41, 965.19 and 232.68

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Solution

The fourth proportional to 643.41, 965.19 and 232.68 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 965.19 = 232.68 : x
  2. Step 2: Convert to fraction form
    643.41/965.19 = 232.68/x
  3. Step 3: Cross multiply
    643.41x = 965.19 × 232.68
  4. Step 4: Simplify right side
    643.41x = 224,580.41
  5. Step 5: Solve for x
    x = 224,580.41/643.41
  6. Step 6: Final answer
    x = 349.05

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Double scale
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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.