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Finding the Fourth Proportional to 683.63, 943.47 and 421.73

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Solution

The fourth proportional to 683.63, 943.47 and 421.73 is: 582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.63 : 943.47 = 421.73 : x
  2. Step 2: Convert to fraction form
    683.63/943.47 = 421.73/x
  3. Step 3: Cross multiply
    683.63x = 943.47 × 421.73
  4. Step 4: Simplify right side
    683.63x = 397,884.89
  5. Step 5: Solve for x
    x = 397,884.89/683.63
  6. Step 6: Final answer
    x = 582.02

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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.