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Finding the Fourth Proportional to 624.09, 861.30 and 344.37

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Solution

The fourth proportional to 624.09, 861.30 and 344.37 is: 475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.09 : 861.30 = 344.37 : x
  2. Step 2: Convert to fraction form
    624.09/861.30 = 344.37/x
  3. Step 3: Cross multiply
    624.09x = 861.30 × 344.37
  4. Step 4: Simplify right side
    624.09x = 296,605.88
  5. Step 5: Solve for x
    x = 296,605.88/624.09
  6. Step 6: Final answer
    x = 475.26

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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.