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Finding the Fourth Proportional to 618.26, 927.41 and 495.95

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Solution

The fourth proportional to 618.26, 927.41 and 495.95 is: 743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.26 : 927.41 = 495.95 : x
  2. Step 2: Convert to fraction form
    618.26/927.41 = 495.95/x
  3. Step 3: Cross multiply
    618.26x = 927.41 × 495.95
  4. Step 4: Simplify right side
    618.26x = 459,941.87
  5. Step 5: Solve for x
    x = 459,941.87/618.26
  6. Step 6: Final answer
    x = 743.94

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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.