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Finding the Fourth Proportional to 650.43, 974.70 and 361.26

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Solution

The fourth proportional to 650.43, 974.70 and 361.26 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.43 : 974.70 = 361.26 : x
  2. Step 2: Convert to fraction form
    650.43/974.70 = 361.26/x
  3. Step 3: Cross multiply
    650.43x = 974.70 × 361.26
  4. Step 4: Simplify right side
    650.43x = 352,120.12
  5. Step 5: Solve for x
    x = 352,120.12/650.43
  6. Step 6: Final answer
    x = 541.37

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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.