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Finding the Fourth Proportional to 641.52, 883.91 and 617.22

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Solution

The fourth proportional to 641.52, 883.91 and 617.22 is: 850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 883.91 = 617.22 : x
  2. Step 2: Convert to fraction form
    641.52/883.91 = 617.22/x
  3. Step 3: Cross multiply
    641.52x = 883.91 × 617.22
  4. Step 4: Simplify right side
    641.52x = 545,568.47
  5. Step 5: Solve for x
    x = 545,568.47/641.52
  6. Step 6: Final answer
    x = 850.43

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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.