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Finding the Fourth Proportional to 605.61, 906.93 and 344.97

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Solution

The fourth proportional to 605.61, 906.93 and 344.97 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.61 : 906.93 = 344.97 : x
  2. Step 2: Convert to fraction form
    605.61/906.93 = 344.97/x
  3. Step 3: Cross multiply
    605.61x = 906.93 × 344.97
  4. Step 4: Simplify right side
    605.61x = 312,863.64
  5. Step 5: Solve for x
    x = 312,863.64/605.61
  6. Step 6: Final answer
    x = 516.61

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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.