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Finding the Fourth Proportional to 429.54, 593.93 and 422.59

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Solution

The fourth proportional to 429.54, 593.93 and 422.59 is: 584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.54 : 593.93 = 422.59 : x
  2. Step 2: Convert to fraction form
    429.54/593.93 = 422.59/x
  3. Step 3: Cross multiply
    429.54x = 593.93 × 422.59
  4. Step 4: Simplify right side
    429.54x = 250,989.56
  5. Step 5: Solve for x
    x = 250,989.56/429.54
  6. Step 6: Final answer
    x = 584.32

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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.