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Finding the Fourth Proportional to 684.09, 944.07 and 389.38

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Solution

The fourth proportional to 684.09, 944.07 and 389.38 is: 537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.09 : 944.07 = 389.38 : x
  2. Step 2: Convert to fraction form
    684.09/944.07 = 389.38/x
  3. Step 3: Cross multiply
    684.09x = 944.07 × 389.38
  4. Step 4: Simplify right side
    684.09x = 367,601.98
  5. Step 5: Solve for x
    x = 367,601.98/684.09
  6. Step 6: Final answer
    x = 537.36

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Half scale
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Double scale
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1.5x scale

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.