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Finding the Fourth Proportional to 641.12, 884.43 and 379.01

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Solution

The fourth proportional to 641.12, 884.43 and 379.01 is: 522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 884.43 = 379.01 : x
  2. Step 2: Convert to fraction form
    641.12/884.43 = 379.01/x
  3. Step 3: Cross multiply
    641.12x = 884.43 × 379.01
  4. Step 4: Simplify right side
    641.12x = 335,207.81
  5. Step 5: Solve for x
    x = 335,207.81/641.12
  6. Step 6: Final answer
    x = 522.85

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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.