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Finding the Fourth Proportional to 557.72, 769.57 and 309.03

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Solution

The fourth proportional to 557.72, 769.57 and 309.03 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.72 : 769.57 = 309.03 : x
  2. Step 2: Convert to fraction form
    557.72/769.57 = 309.03/x
  3. Step 3: Cross multiply
    557.72x = 769.57 × 309.03
  4. Step 4: Simplify right side
    557.72x = 237,819.44
  5. Step 5: Solve for x
    x = 237,819.44/557.72
  6. Step 6: Final answer
    x = 426.42

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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.