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Finding the Fourth Proportional to 433.09, 594.43 and 385.39

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Solution

The fourth proportional to 433.09, 594.43 and 385.39 is: 528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.09 : 594.43 = 385.39 : x
  2. Step 2: Convert to fraction form
    433.09/594.43 = 385.39/x
  3. Step 3: Cross multiply
    433.09x = 594.43 × 385.39
  4. Step 4: Simplify right side
    433.09x = 229,087.38
  5. Step 5: Solve for x
    x = 229,087.38/433.09
  6. Step 6: Final answer
    x = 528.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.