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Finding the Fourth Proportional to 641.34, 884.34 and 494.34

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Solution

The fourth proportional to 641.34, 884.34 and 494.34 is: 681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 884.34 = 494.34 : x
  2. Step 2: Convert to fraction form
    641.34/884.34 = 494.34/x
  3. Step 3: Cross multiply
    641.34x = 884.34 × 494.34
  4. Step 4: Simplify right side
    641.34x = 437,164.64
  5. Step 5: Solve for x
    x = 437,164.64/641.34
  6. Step 6: Final answer
    x = 681.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.