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Finding the Fourth Proportional to 414.72, 617.76 and 405.27

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Solution

The fourth proportional to 414.72, 617.76 and 405.27 is: 603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 617.76 = 405.27 : x
  2. Step 2: Convert to fraction form
    414.72/617.76 = 405.27/x
  3. Step 3: Cross multiply
    414.72x = 617.76 × 405.27
  4. Step 4: Simplify right side
    414.72x = 250,359.60
  5. Step 5: Solve for x
    x = 250,359.60/414.72
  6. Step 6: Final answer
    x = 603.68

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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.