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Finding the Fourth Proportional to 683.43, 942.40 and 447.58

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Solution

The fourth proportional to 683.43, 942.40 and 447.58 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.43 : 942.40 = 447.58 : x
  2. Step 2: Convert to fraction form
    683.43/942.40 = 447.58/x
  3. Step 3: Cross multiply
    683.43x = 942.40 × 447.58
  4. Step 4: Simplify right side
    683.43x = 421,801.13
  5. Step 5: Solve for x
    x = 421,801.13/683.43
  6. Step 6: Final answer
    x = 617.19

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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.