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Finding the Fourth Proportional to 517.41, 775.05 and 361.22

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Solution

The fourth proportional to 517.41, 775.05 and 361.22 is: 541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.41 : 775.05 = 361.22 : x
  2. Step 2: Convert to fraction form
    517.41/775.05 = 361.22/x
  3. Step 3: Cross multiply
    517.41x = 775.05 × 361.22
  4. Step 4: Simplify right side
    517.41x = 279,959.69
  5. Step 5: Solve for x
    x = 279,959.69/517.41
  6. Step 6: Final answer
    x = 541.08

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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.