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Finding the Fourth Proportional to 415.77, 620.69 and 361.11

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Solution

The fourth proportional to 415.77, 620.69 and 361.11 is: 539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 620.69 = 361.11 : x
  2. Step 2: Convert to fraction form
    415.77/620.69 = 361.11/x
  3. Step 3: Cross multiply
    415.77x = 620.69 × 361.11
  4. Step 4: Simplify right side
    415.77x = 224,135.56
  5. Step 5: Solve for x
    x = 224,135.56/415.77
  6. Step 6: Final answer
    x = 539.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.