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Finding the Fourth Proportional to 605.27, 906.50 and 516.45

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Solution

The fourth proportional to 605.27, 906.50 and 516.45 is: 773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.27 : 906.50 = 516.45 : x
  2. Step 2: Convert to fraction form
    605.27/906.50 = 516.45/x
  3. Step 3: Cross multiply
    605.27x = 906.50 × 516.45
  4. Step 4: Simplify right side
    605.27x = 468,159.34
  5. Step 5: Solve for x
    x = 468,159.34/605.27
  6. Step 6: Final answer
    x = 773.48

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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.