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Finding the Fourth Proportional to 604.41, 905.86 and 344.63

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Solution

The fourth proportional to 604.41, 905.86 and 344.63 is: 516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.41 : 905.86 = 344.63 : x
  2. Step 2: Convert to fraction form
    604.41/905.86 = 344.63/x
  3. Step 3: Cross multiply
    604.41x = 905.86 × 344.63
  4. Step 4: Simplify right side
    604.41x = 312,186.53
  5. Step 5: Solve for x
    x = 312,186.53/604.41
  6. Step 6: Final answer
    x = 516.51

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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.