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Finding the Fourth Proportional to 563.22, 773.11 and 499.66

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Solution

The fourth proportional to 563.22, 773.11 and 499.66 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 773.11 = 499.66 : x
  2. Step 2: Convert to fraction form
    563.22/773.11 = 499.66/x
  3. Step 3: Cross multiply
    563.22x = 773.11 × 499.66
  4. Step 4: Simplify right side
    563.22x = 386,295.35
  5. Step 5: Solve for x
    x = 386,295.35/563.22
  6. Step 6: Final answer
    x = 685.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.