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Finding the Fourth Proportional to 517.99, 775.16 and 361.05

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Solution

The fourth proportional to 517.99, 775.16 and 361.05 is: 540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 775.16 = 361.05 : x
  2. Step 2: Convert to fraction form
    517.99/775.16 = 361.05/x
  3. Step 3: Cross multiply
    517.99x = 775.16 × 361.05
  4. Step 4: Simplify right side
    517.99x = 279,869.71
  5. Step 5: Solve for x
    x = 279,869.71/517.99
  6. Step 6: Final answer
    x = 540.30

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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.