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Finding the Fourth Proportional to 683.58, 943.34 and 421.75

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Solution

The fourth proportional to 683.58, 943.34 and 421.75 is: 582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.58 : 943.34 = 421.75 : x
  2. Step 2: Convert to fraction form
    683.58/943.34 = 421.75/x
  3. Step 3: Cross multiply
    683.58x = 943.34 × 421.75
  4. Step 4: Simplify right side
    683.58x = 397,848.60
  5. Step 5: Solve for x
    x = 397,848.60/683.58
  6. Step 6: Final answer
    x = 582.01

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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.