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Finding the Fourth Proportional to 414.45, 617.64 and 401.94

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Solution

The fourth proportional to 414.45, 617.64 and 401.94 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.45 : 617.64 = 401.94 : x
  2. Step 2: Convert to fraction form
    414.45/617.64 = 401.94/x
  3. Step 3: Cross multiply
    414.45x = 617.64 × 401.94
  4. Step 4: Simplify right side
    414.45x = 248,251.13
  5. Step 5: Solve for x
    x = 248,251.13/414.45
  6. Step 6: Final answer
    x = 598.99

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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.