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Finding the Fourth Proportional to 429.46, 593.76 and 380.22

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Solution

The fourth proportional to 429.46, 593.76 and 380.22 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.46 : 593.76 = 380.22 : x
  2. Step 2: Convert to fraction form
    429.46/593.76 = 380.22/x
  3. Step 3: Cross multiply
    429.46x = 593.76 × 380.22
  4. Step 4: Simplify right side
    429.46x = 225,759.43
  5. Step 5: Solve for x
    x = 225,759.43/429.46
  6. Step 6: Final answer
    x = 525.68

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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.