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Finding the Fourth Proportional to 557.78, 769.76 and 309.14

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Solution

The fourth proportional to 557.78, 769.76 and 309.14 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 769.76 = 309.14 : x
  2. Step 2: Convert to fraction form
    557.78/769.76 = 309.14/x
  3. Step 3: Cross multiply
    557.78x = 769.76 × 309.14
  4. Step 4: Simplify right side
    557.78x = 237,958.21
  5. Step 5: Solve for x
    x = 237,958.21/557.78
  6. Step 6: Final answer
    x = 426.62

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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.