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Finding the Fourth Proportional to 563.72, 777.86 and 377.54

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Solution

The fourth proportional to 563.72, 777.86 and 377.54 is: 520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 777.86 = 377.54 : x
  2. Step 2: Convert to fraction form
    563.72/777.86 = 377.54/x
  3. Step 3: Cross multiply
    563.72x = 777.86 × 377.54
  4. Step 4: Simplify right side
    563.72x = 293,673.26
  5. Step 5: Solve for x
    x = 293,673.26/563.72
  6. Step 6: Final answer
    x = 520.96

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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.