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Finding the Fourth Proportional to 641.94, 963.09 and 209.13

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Solution

The fourth proportional to 641.94, 963.09 and 209.13 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 963.09 = 209.13 : x
  2. Step 2: Convert to fraction form
    641.94/963.09 = 209.13/x
  3. Step 3: Cross multiply
    641.94x = 963.09 × 209.13
  4. Step 4: Simplify right side
    641.94x = 201,411.01
  5. Step 5: Solve for x
    x = 201,411.01/641.94
  6. Step 6: Final answer
    x = 313.75

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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.