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Finding the Fourth Proportional to 641.94, 961.83 and 609

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Solution

The fourth proportional to 641.94, 961.83 and 609 is: 912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 961.83 = 609 : x
  2. Step 2: Convert to fraction form
    641.94/961.83 = 609/x
  3. Step 3: Cross multiply
    641.94x = 961.83 × 609
  4. Step 4: Simplify right side
    641.94x = 585,754.47
  5. Step 5: Solve for x
    x = 585,754.47/641.94
  6. Step 6: Final answer
    x = 912.48

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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.