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Finding the Fourth Proportional to 563.55, 777.56 and 327.43

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Solution

The fourth proportional to 563.55, 777.56 and 327.43 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.55 : 777.56 = 327.43 : x
  2. Step 2: Convert to fraction form
    563.55/777.56 = 327.43/x
  3. Step 3: Cross multiply
    563.55x = 777.56 × 327.43
  4. Step 4: Simplify right side
    563.55x = 254,596.47
  5. Step 5: Solve for x
    x = 254,596.47/563.55
  6. Step 6: Final answer
    x = 451.77

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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.