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Finding the Fourth Proportional to 563.90, 778.31 and 327.89

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Solution

The fourth proportional to 563.90, 778.31 and 327.89 is: 452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.90 : 778.31 = 327.89 : x
  2. Step 2: Convert to fraction form
    563.90/778.31 = 327.89/x
  3. Step 3: Cross multiply
    563.90x = 778.31 × 327.89
  4. Step 4: Simplify right side
    563.90x = 255,200.37
  5. Step 5: Solve for x
    x = 255,200.37/563.90
  6. Step 6: Final answer
    x = 452.56

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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.