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Finding the Fourth Proportional to 684.08, 943.30 and 447.96

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Solution

The fourth proportional to 684.08, 943.30 and 447.96 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 943.30 = 447.96 : x
  2. Step 2: Convert to fraction form
    684.08/943.30 = 447.96/x
  3. Step 3: Cross multiply
    684.08x = 943.30 × 447.96
  4. Step 4: Simplify right side
    684.08x = 422,554.29
  5. Step 5: Solve for x
    x = 422,554.29/684.08
  6. Step 6: Final answer
    x = 617.69

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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.