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Finding the Fourth Proportional to 683.47, 1,023.46 and 451.66

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Solution

The fourth proportional to 683.47, 1,023.46 and 451.66 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,023.46 = 451.66 : x
  2. Step 2: Convert to fraction form
    683.47/1,023.46 = 451.66/x
  3. Step 3: Cross multiply
    683.47x = 1,023.46 × 451.66
  4. Step 4: Simplify right side
    683.47x = 462,255.94
  5. Step 5: Solve for x
    x = 462,255.94/683.47
  6. Step 6: Final answer
    x = 676.34

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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.