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Finding the Fourth Proportional to 641.70, 961.88 and 294.62

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Solution

The fourth proportional to 641.70, 961.88 and 294.62 is: 441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 961.88 = 294.62 : x
  2. Step 2: Convert to fraction form
    641.70/961.88 = 294.62/x
  3. Step 3: Cross multiply
    641.70x = 961.88 × 294.62
  4. Step 4: Simplify right side
    641.70x = 283,382.80
  5. Step 5: Solve for x
    x = 283,382.80/641.70
  6. Step 6: Final answer
    x = 441.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.