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Finding the Fourth Proportional to 641.67, 961.83 and 316.37

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Solution

The fourth proportional to 641.67, 961.83 and 316.37 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 961.83 = 316.37 : x
  2. Step 2: Convert to fraction form
    641.67/961.83 = 316.37/x
  3. Step 3: Cross multiply
    641.67x = 961.83 × 316.37
  4. Step 4: Simplify right side
    641.67x = 304,289.35
  5. Step 5: Solve for x
    x = 304,289.35/641.67
  6. Step 6: Final answer
    x = 474.21

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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.