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Finding the Fourth Proportional to 624.00, 861.14 and 344.26

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Solution

The fourth proportional to 624.00, 861.14 and 344.26 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.00 : 861.14 = 344.26 : x
  2. Step 2: Convert to fraction form
    624.00/861.14 = 344.26/x
  3. Step 3: Cross multiply
    624.00x = 861.14 × 344.26
  4. Step 4: Simplify right side
    624.00x = 296,453.15
  5. Step 5: Solve for x
    x = 296,453.15/624.00
  6. Step 6: Final answer
    x = 475.09

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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.