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Finding the Fourth Proportional to 684.44, 944.29 and 389.64

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Solution

The fourth proportional to 684.44, 944.29 and 389.64 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.44 : 944.29 = 389.64 : x
  2. Step 2: Convert to fraction form
    684.44/944.29 = 389.64/x
  3. Step 3: Cross multiply
    684.44x = 944.29 × 389.64
  4. Step 4: Simplify right side
    684.44x = 367,928.43
  5. Step 5: Solve for x
    x = 367,928.43/684.44
  6. Step 6: Final answer
    x = 537.56

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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.