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Finding the Fourth Proportional to 641.79, 961.77 and 317.38

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Solution

The fourth proportional to 641.79, 961.77 and 317.38 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.79 : 961.77 = 317.38 : x
  2. Step 2: Convert to fraction form
    641.79/961.77 = 317.38/x
  3. Step 3: Cross multiply
    641.79x = 961.77 × 317.38
  4. Step 4: Simplify right side
    641.79x = 305,246.56
  5. Step 5: Solve for x
    x = 305,246.56/641.79
  6. Step 6: Final answer
    x = 475.62

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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.