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Finding the Fourth Proportional to 624.00, 861.03 and 361.97

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Solution

The fourth proportional to 624.00, 861.03 and 361.97 is: 499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.00 : 861.03 = 361.97 : x
  2. Step 2: Convert to fraction form
    624.00/861.03 = 361.97/x
  3. Step 3: Cross multiply
    624.00x = 861.03 × 361.97
  4. Step 4: Simplify right side
    624.00x = 311,665.95
  5. Step 5: Solve for x
    x = 311,665.95/624.00
  6. Step 6: Final answer
    x = 499.46

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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.