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Finding the Fourth Proportional to 684.64, 944.81 and 389.89

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Solution

The fourth proportional to 684.64, 944.81 and 389.89 is: 538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 944.81 = 389.89 : x
  2. Step 2: Convert to fraction form
    684.64/944.81 = 389.89/x
  3. Step 3: Cross multiply
    684.64x = 944.81 × 389.89
  4. Step 4: Simplify right side
    684.64x = 368,371.97
  5. Step 5: Solve for x
    x = 368,371.97/684.64
  6. Step 6: Final answer
    x = 538.05

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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.