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Finding the Fourth Proportional to 682.40, 1,023.89 and 389.85

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Solution

The fourth proportional to 682.40, 1,023.89 and 389.85 is: 584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 1,023.89 = 389.85 : x
  2. Step 2: Convert to fraction form
    682.40/1,023.89 = 389.85/x
  3. Step 3: Cross multiply
    682.40x = 1,023.89 × 389.85
  4. Step 4: Simplify right side
    682.40x = 399,161.57
  5. Step 5: Solve for x
    x = 399,161.57/682.40
  6. Step 6: Final answer
    x = 584.94

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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.