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Finding the Fourth Proportional to 624.05, 861.03 and 361.91

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Solution

The fourth proportional to 624.05, 861.03 and 361.91 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.05 : 861.03 = 361.91 : x
  2. Step 2: Convert to fraction form
    624.05/861.03 = 361.91/x
  3. Step 3: Cross multiply
    624.05x = 861.03 × 361.91
  4. Step 4: Simplify right side
    624.05x = 311,615.37
  5. Step 5: Solve for x
    x = 311,615.37/624.05
  6. Step 6: Final answer
    x = 499.34

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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.