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Finding the Fourth Proportional to 643.46, 965.20 and 232.61

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Solution

The fourth proportional to 643.46, 965.20 and 232.61 is: 348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 965.20 = 232.61 : x
  2. Step 2: Convert to fraction form
    643.46/965.20 = 232.61/x
  3. Step 3: Cross multiply
    643.46x = 965.20 × 232.61
  4. Step 4: Simplify right side
    643.46x = 224,515.17
  5. Step 5: Solve for x
    x = 224,515.17/643.46
  6. Step 6: Final answer
    x = 348.92

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Double scale
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Similar ratio
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1.5x scale

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.