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Finding the Fourth Proportional to 523.25, 785.09 and 361.17

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Solution

The fourth proportional to 523.25, 785.09 and 361.17 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 785.09 = 361.17 : x
  2. Step 2: Convert to fraction form
    523.25/785.09 = 361.17/x
  3. Step 3: Cross multiply
    523.25x = 785.09 × 361.17
  4. Step 4: Simplify right side
    523.25x = 283,549.15
  5. Step 5: Solve for x
    x = 283,549.15/523.25
  6. Step 6: Final answer
    x = 541.91

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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.