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Finding the Fourth Proportional to 464.45, 639.42 and 406.19

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Solution

The fourth proportional to 464.45, 639.42 and 406.19 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 639.42 = 406.19 : x
  2. Step 2: Convert to fraction form
    464.45/639.42 = 406.19/x
  3. Step 3: Cross multiply
    464.45x = 639.42 × 406.19
  4. Step 4: Simplify right side
    464.45x = 259,726.01
  5. Step 5: Solve for x
    x = 259,726.01/464.45
  6. Step 6: Final answer
    x = 559.22

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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.