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Finding the Fourth Proportional to 557.37, 768.78 and 409.77

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Solution

The fourth proportional to 557.37, 768.78 and 409.77 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.37 : 768.78 = 409.77 : x
  2. Step 2: Convert to fraction form
    557.37/768.78 = 409.77/x
  3. Step 3: Cross multiply
    557.37x = 768.78 × 409.77
  4. Step 4: Simplify right side
    557.37x = 315,022.98
  5. Step 5: Solve for x
    x = 315,022.98/557.37
  6. Step 6: Final answer
    x = 565.20

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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.