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Finding the Fourth Proportional to 683.64, 943.92 and 447.72

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Solution

The fourth proportional to 683.64, 943.92 and 447.72 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 943.92 = 447.72 : x
  2. Step 2: Convert to fraction form
    683.64/943.92 = 447.72/x
  3. Step 3: Cross multiply
    683.64x = 943.92 × 447.72
  4. Step 4: Simplify right side
    683.64x = 422,611.86
  5. Step 5: Solve for x
    x = 422,611.86/683.64
  6. Step 6: Final answer
    x = 618.18

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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.