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Finding the Fourth Proportional to 684.57, 944.62 and 389.80

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Solution

The fourth proportional to 684.57, 944.62 and 389.80 is: 537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.57 : 944.62 = 389.80 : x
  2. Step 2: Convert to fraction form
    684.57/944.62 = 389.80/x
  3. Step 3: Cross multiply
    684.57x = 944.62 × 389.80
  4. Step 4: Simplify right side
    684.57x = 368,212.88
  5. Step 5: Solve for x
    x = 368,212.88/684.57
  6. Step 6: Final answer
    x = 537.87

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