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Finding the Fourth Proportional to 557.76, 769.56 and 321.78

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Solution

The fourth proportional to 557.76, 769.56 and 321.78 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 769.56 = 321.78 : x
  2. Step 2: Convert to fraction form
    557.76/769.56 = 321.78/x
  3. Step 3: Cross multiply
    557.76x = 769.56 × 321.78
  4. Step 4: Simplify right side
    557.76x = 247,630.70
  5. Step 5: Solve for x
    x = 247,630.70/557.76
  6. Step 6: Final answer
    x = 443.97

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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.