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Finding the Fourth Proportional to 447.81, 617.67 and 401.64

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Solution

The fourth proportional to 447.81, 617.67 and 401.64 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.81 : 617.67 = 401.64 : x
  2. Step 2: Convert to fraction form
    447.81/617.67 = 401.64/x
  3. Step 3: Cross multiply
    447.81x = 617.67 × 401.64
  4. Step 4: Simplify right side
    447.81x = 248,080.98
  5. Step 5: Solve for x
    x = 248,080.98/447.81
  6. Step 6: Final answer
    x = 553.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.