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Finding the Fourth Proportional to 658.33, 985.43 and 361.43

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Solution

The fourth proportional to 658.33, 985.43 and 361.43 is: 541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.33 : 985.43 = 361.43 : x
  2. Step 2: Convert to fraction form
    658.33/985.43 = 361.43/x
  3. Step 3: Cross multiply
    658.33x = 985.43 × 361.43
  4. Step 4: Simplify right side
    658.33x = 356,168.45
  5. Step 5: Solve for x
    x = 356,168.45/658.33
  6. Step 6: Final answer
    x = 541.02

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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.