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Finding the Fourth Proportional to 563.69, 778.05 and 327.74

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Solution

The fourth proportional to 563.69, 778.05 and 327.74 is: 452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.69 : 778.05 = 327.74 : x
  2. Step 2: Convert to fraction form
    563.69/778.05 = 327.74/x
  3. Step 3: Cross multiply
    563.69x = 778.05 × 327.74
  4. Step 4: Simplify right side
    563.69x = 254,999.21
  5. Step 5: Solve for x
    x = 254,999.21/563.69
  6. Step 6: Final answer
    x = 452.38

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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.