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Finding the Fourth Proportional to 682.03, 1,023.13 and 219.65

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Solution

The fourth proportional to 682.03, 1,023.13 and 219.65 is: 329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 1,023.13 = 219.65 : x
  2. Step 2: Convert to fraction form
    682.03/1,023.13 = 219.65/x
  3. Step 3: Cross multiply
    682.03x = 1,023.13 × 219.65
  4. Step 4: Simplify right side
    682.03x = 224,730.50
  5. Step 5: Solve for x
    x = 224,730.50/682.03
  6. Step 6: Final answer
    x = 329.50

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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.