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Finding the Fourth Proportional to 557.72, 768.84 and 391.43

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Solution

The fourth proportional to 557.72, 768.84 and 391.43 is: 539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 768.84 = 391.43 : x
  2. Step 2: Convert to fraction form
    557.72/768.84 = 391.43/x
  3. Step 3: Cross multiply
    557.72x = 768.84 × 391.43
  4. Step 4: Simplify right side
    557.72x = 300,947.04
  5. Step 5: Solve for x
    x = 300,947.04/557.72
  6. Step 6: Final answer
    x = 539.60

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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.