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Finding the Fourth Proportional to 683.36, 942.80 and 447.64

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Solution

The fourth proportional to 683.36, 942.80 and 447.64 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 942.80 = 447.64 : x
  2. Step 2: Convert to fraction form
    683.36/942.80 = 447.64/x
  3. Step 3: Cross multiply
    683.36x = 942.80 × 447.64
  4. Step 4: Simplify right side
    683.36x = 422,034.99
  5. Step 5: Solve for x
    x = 422,034.99/683.36
  6. Step 6: Final answer
    x = 617.59

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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.