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Finding the Fourth Proportional to 855.44, 1,281.74 and 361.44

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Solution

The fourth proportional to 855.44, 1,281.74 and 361.44 is: 541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.44 : 1,281.74 = 361.44 : x
  2. Step 2: Convert to fraction form
    855.44/1,281.74 = 361.44/x
  3. Step 3: Cross multiply
    855.44x = 1,281.74 × 361.44
  4. Step 4: Simplify right side
    855.44x = 463,273.01
  5. Step 5: Solve for x
    x = 463,273.01/855.44
  6. Step 6: Final answer
    x = 541.56

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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.