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Finding the Fourth Proportional to 684.31, 944.48 and 389.59

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Solution

The fourth proportional to 684.31, 944.48 and 389.59 is: 537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.31 : 944.48 = 389.59 : x
  2. Step 2: Convert to fraction form
    684.31/944.48 = 389.59/x
  3. Step 3: Cross multiply
    684.31x = 944.48 × 389.59
  4. Step 4: Simplify right side
    684.31x = 367,959.96
  5. Step 5: Solve for x
    x = 367,959.96/684.31
  6. Step 6: Final answer
    x = 537.71

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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.