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Finding the Fourth Proportional to 641.32, 961.18 and 315.96

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Solution

The fourth proportional to 641.32, 961.18 and 315.96 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 961.18 = 315.96 : x
  2. Step 2: Convert to fraction form
    641.32/961.18 = 315.96/x
  3. Step 3: Cross multiply
    641.32x = 961.18 × 315.96
  4. Step 4: Simplify right side
    641.32x = 303,694.43
  5. Step 5: Solve for x
    x = 303,694.43/641.32
  6. Step 6: Final answer
    x = 473.55

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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.