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Finding the Fourth Proportional to 682.75, 1,023.99 and 374.32

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Solution

The fourth proportional to 682.75, 1,023.99 and 374.32 is: 561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.75 : 1,023.99 = 374.32 : x
  2. Step 2: Convert to fraction form
    682.75/1,023.99 = 374.32/x
  3. Step 3: Cross multiply
    682.75x = 1,023.99 × 374.32
  4. Step 4: Simplify right side
    682.75x = 383,299.94
  5. Step 5: Solve for x
    x = 383,299.94/682.75
  6. Step 6: Final answer
    x = 561.41

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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.