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Finding the Fourth Proportional to 682.68, 1,024.94 and 439.41

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Solution

The fourth proportional to 682.68, 1,024.94 and 439.41 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 1,024.94 = 439.41 : x
  2. Step 2: Convert to fraction form
    682.68/1,024.94 = 439.41/x
  3. Step 3: Cross multiply
    682.68x = 1,024.94 × 439.41
  4. Step 4: Simplify right side
    682.68x = 450,368.89
  5. Step 5: Solve for x
    x = 450,368.89/682.68
  6. Step 6: Final answer
    x = 659.71

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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.