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Finding the Fourth Proportional to 641.58, 961.71 and 294.67

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Solution

The fourth proportional to 641.58, 961.71 and 294.67 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.58 : 961.71 = 294.67 : x
  2. Step 2: Convert to fraction form
    641.58/961.71 = 294.67/x
  3. Step 3: Cross multiply
    641.58x = 961.71 × 294.67
  4. Step 4: Simplify right side
    641.58x = 283,387.09
  5. Step 5: Solve for x
    x = 283,387.09/641.58
  6. Step 6: Final answer
    x = 441.70

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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.