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Finding the Fourth Proportional to 467.36, 644.72 and 405.09

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Solution

The fourth proportional to 467.36, 644.72 and 405.09 is: 558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.36 : 644.72 = 405.09 : x
  2. Step 2: Convert to fraction form
    467.36/644.72 = 405.09/x
  3. Step 3: Cross multiply
    467.36x = 644.72 × 405.09
  4. Step 4: Simplify right side
    467.36x = 261,169.62
  5. Step 5: Solve for x
    x = 261,169.62/467.36
  6. Step 6: Final answer
    x = 558.82

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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.