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Finding the Fourth Proportional to 684.10, 943.97 and 389.37

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Solution

The fourth proportional to 684.10, 943.97 and 389.37 is: 537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 943.97 = 389.37 : x
  2. Step 2: Convert to fraction form
    684.10/943.97 = 389.37/x
  3. Step 3: Cross multiply
    684.10x = 943.97 × 389.37
  4. Step 4: Simplify right side
    684.10x = 367,553.60
  5. Step 5: Solve for x
    x = 367,553.60/684.10
  6. Step 6: Final answer
    x = 537.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.