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Finding the Fourth Proportional to 518.21, 775.63 and 381.22

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Solution

The fourth proportional to 518.21, 775.63 and 381.22 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.21 : 775.63 = 381.22 : x
  2. Step 2: Convert to fraction form
    518.21/775.63 = 381.22/x
  3. Step 3: Cross multiply
    518.21x = 775.63 × 381.22
  4. Step 4: Simplify right side
    518.21x = 295,685.67
  5. Step 5: Solve for x
    x = 295,685.67/518.21
  6. Step 6: Final answer
    x = 570.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.