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Finding the Fourth Proportional to 643.60, 965.14 and 232.62

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Solution

The fourth proportional to 643.60, 965.14 and 232.62 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 965.14 = 232.62 : x
  2. Step 2: Convert to fraction form
    643.60/965.14 = 232.62/x
  3. Step 3: Cross multiply
    643.60x = 965.14 × 232.62
  4. Step 4: Simplify right side
    643.60x = 224,510.87
  5. Step 5: Solve for x
    x = 224,510.87/643.60
  6. Step 6: Final answer
    x = 348.84

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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.