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Finding the Fourth Proportional to 683.39, 942.74 and 447.24

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Solution

The fourth proportional to 683.39, 942.74 and 447.24 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.39 : 942.74 = 447.24 : x
  2. Step 2: Convert to fraction form
    683.39/942.74 = 447.24/x
  3. Step 3: Cross multiply
    683.39x = 942.74 × 447.24
  4. Step 4: Simplify right side
    683.39x = 421,628.80
  5. Step 5: Solve for x
    x = 421,628.80/683.39
  6. Step 6: Final answer
    x = 616.97

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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.