Home / 682.03-1,023.10-330.53

Finding the Fourth Proportional to 682.03, 1,023.10 and 330.53

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Solution

The fourth proportional to 682.03, 1,023.10 and 330.53 is: 495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 1,023.10 = 330.53 : x
  2. Step 2: Convert to fraction form
    682.03/1,023.10 = 330.53/x
  3. Step 3: Cross multiply
    682.03x = 1,023.10 × 330.53
  4. Step 4: Simplify right side
    682.03x = 338,167.80
  5. Step 5: Solve for x
    x = 338,167.80/682.03
  6. Step 6: Final answer
    x = 495.83

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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.