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Finding the Fourth Proportional to 684.11, 944.25 and 389.48

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Solution

The fourth proportional to 684.11, 944.25 and 389.48 is: 537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 944.25 = 389.48 : x
  2. Step 2: Convert to fraction form
    684.11/944.25 = 389.48/x
  3. Step 3: Cross multiply
    684.11x = 944.25 × 389.48
  4. Step 4: Simplify right side
    684.11x = 367,761.77
  5. Step 5: Solve for x
    x = 367,761.77/684.11
  6. Step 6: Final answer
    x = 537.57

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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.