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Finding the Fourth Proportional to 557.69, 768.42 and 433.22

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Solution

The fourth proportional to 557.69, 768.42 and 433.22 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 768.42 = 433.22 : x
  2. Step 2: Convert to fraction form
    557.69/768.42 = 433.22/x
  3. Step 3: Cross multiply
    557.69x = 768.42 × 433.22
  4. Step 4: Simplify right side
    557.69x = 332,891.07
  5. Step 5: Solve for x
    x = 332,891.07/557.69
  6. Step 6: Final answer
    x = 596.92

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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.