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Finding the Fourth Proportional to 684.53, 944.65 and 389.79

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Solution

The fourth proportional to 684.53, 944.65 and 389.79 is: 537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.53 : 944.65 = 389.79 : x
  2. Step 2: Convert to fraction form
    684.53/944.65 = 389.79/x
  3. Step 3: Cross multiply
    684.53x = 944.65 × 389.79
  4. Step 4: Simplify right side
    684.53x = 368,208.45
  5. Step 5: Solve for x
    x = 368,208.45/684.53
  6. Step 6: Final answer
    x = 537.90

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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.