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Finding the Fourth Proportional to 682.40, 1,023.59 and 408.56

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Solution

The fourth proportional to 682.40, 1,023.59 and 408.56 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 1,023.59 = 408.56 : x
  2. Step 2: Convert to fraction form
    682.40/1,023.59 = 408.56/x
  3. Step 3: Cross multiply
    682.40x = 1,023.59 × 408.56
  4. Step 4: Simplify right side
    682.40x = 418,201.51
  5. Step 5: Solve for x
    x = 418,201.51/682.40
  6. Step 6: Final answer
    x = 612.84

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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.