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Finding the Fourth Proportional to 624.22, 861.38 and 362.25

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Solution

The fourth proportional to 624.22, 861.38 and 362.25 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.22 : 861.38 = 362.25 : x
  2. Step 2: Convert to fraction form
    624.22/861.38 = 362.25/x
  3. Step 3: Cross multiply
    624.22x = 861.38 × 362.25
  4. Step 4: Simplify right side
    624.22x = 312,035.25
  5. Step 5: Solve for x
    x = 312,035.25/624.22
  6. Step 6: Final answer
    x = 499.88

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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.