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Finding the Fourth Proportional to 604.48, 905.96 and 344.68

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Solution

The fourth proportional to 604.48, 905.96 and 344.68 is: 516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 905.96 = 344.68 : x
  2. Step 2: Convert to fraction form
    604.48/905.96 = 344.68/x
  3. Step 3: Cross multiply
    604.48x = 905.96 × 344.68
  4. Step 4: Simplify right side
    604.48x = 312,266.29
  5. Step 5: Solve for x
    x = 312,266.29/604.48
  6. Step 6: Final answer
    x = 516.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.