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Finding the Fourth Proportional to 683.90, 1,023.28 and 420.44

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Solution

The fourth proportional to 683.90, 1,023.28 and 420.44 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.90 : 1,023.28 = 420.44 : x
  2. Step 2: Convert to fraction form
    683.90/1,023.28 = 420.44/x
  3. Step 3: Cross multiply
    683.90x = 1,023.28 × 420.44
  4. Step 4: Simplify right side
    683.90x = 430,227.84
  5. Step 5: Solve for x
    x = 430,227.84/683.90
  6. Step 6: Final answer
    x = 629.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.