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Finding the Fourth Proportional to 641.67, 961.98 and 316.86

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Solution

The fourth proportional to 641.67, 961.98 and 316.86 is: 475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.67 : 961.98 = 316.86 : x
  2. Step 2: Convert to fraction form
    641.67/961.98 = 316.86/x
  3. Step 3: Cross multiply
    641.67x = 961.98 × 316.86
  4. Step 4: Simplify right side
    641.67x = 304,812.98
  5. Step 5: Solve for x
    x = 304,812.98/641.67
  6. Step 6: Final answer
    x = 475.03

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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.