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Finding the Fourth Proportional to 643.20, 886.10 and 446.37

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Solution

The fourth proportional to 643.20, 886.10 and 446.37 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.20 : 886.10 = 446.37 : x
  2. Step 2: Convert to fraction form
    643.20/886.10 = 446.37/x
  3. Step 3: Cross multiply
    643.20x = 886.10 × 446.37
  4. Step 4: Simplify right side
    643.20x = 395,524.03
  5. Step 5: Solve for x
    x = 395,524.03/643.20
  6. Step 6: Final answer
    x = 614.94

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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.