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Finding the Fourth Proportional to 414.52, 617.27 and 395.64

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Solution

The fourth proportional to 414.52, 617.27 and 395.64 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 617.27 = 395.64 : x
  2. Step 2: Convert to fraction form
    414.52/617.27 = 395.64/x
  3. Step 3: Cross multiply
    414.52x = 617.27 × 395.64
  4. Step 4: Simplify right side
    414.52x = 244,216.70
  5. Step 5: Solve for x
    x = 244,216.70/414.52
  6. Step 6: Final answer
    x = 589.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.