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Finding the Fourth Proportional to 682.78, 1,024.32 and 220.59

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Solution

The fourth proportional to 682.78, 1,024.32 and 220.59 is: 330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 1,024.32 = 220.59 : x
  2. Step 2: Convert to fraction form
    682.78/1,024.32 = 220.59/x
  3. Step 3: Cross multiply
    682.78x = 1,024.32 × 220.59
  4. Step 4: Simplify right side
    682.78x = 225,954.75
  5. Step 5: Solve for x
    x = 225,954.75/682.78
  6. Step 6: Final answer
    x = 330.93

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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.