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Finding the Fourth Proportional to 682.37, 1,023.54 and 408.54

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Solution

The fourth proportional to 682.37, 1,023.54 and 408.54 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.37 : 1,023.54 = 408.54 : x
  2. Step 2: Convert to fraction form
    682.37/1,023.54 = 408.54/x
  3. Step 3: Cross multiply
    682.37x = 1,023.54 × 408.54
  4. Step 4: Simplify right side
    682.37x = 418,152.94
  5. Step 5: Solve for x
    x = 418,152.94/682.37
  6. Step 6: Final answer
    x = 612.80

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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.