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Finding the Fourth Proportional to 422.51, 582.20 and 399.56

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Solution

The fourth proportional to 422.51, 582.20 and 399.56 is: 550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.51 : 582.20 = 399.56 : x
  2. Step 2: Convert to fraction form
    422.51/582.20 = 399.56/x
  3. Step 3: Cross multiply
    422.51x = 582.20 × 399.56
  4. Step 4: Simplify right side
    422.51x = 232,623.83
  5. Step 5: Solve for x
    x = 232,623.83/422.51
  6. Step 6: Final answer
    x = 550.58

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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.