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Finding the Fourth Proportional to 854.89, 1,282.69 and 361.42

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Solution

The fourth proportional to 854.89, 1,282.69 and 361.42 is: 542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.89 : 1,282.69 = 361.42 : x
  2. Step 2: Convert to fraction form
    854.89/1,282.69 = 361.42/x
  3. Step 3: Cross multiply
    854.89x = 1,282.69 × 361.42
  4. Step 4: Simplify right side
    854.89x = 463,589.82
  5. Step 5: Solve for x
    x = 463,589.82/854.89
  6. Step 6: Final answer
    x = 542.28

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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.