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Finding the Fourth Proportional to 643.47, 965.06 and 232.61

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Solution

The fourth proportional to 643.47, 965.06 and 232.61 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.47 : 965.06 = 232.61 : x
  2. Step 2: Convert to fraction form
    643.47/965.06 = 232.61/x
  3. Step 3: Cross multiply
    643.47x = 965.06 × 232.61
  4. Step 4: Simplify right side
    643.47x = 224,482.61
  5. Step 5: Solve for x
    x = 224,482.61/643.47
  6. Step 6: Final answer
    x = 348.86

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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.