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Finding the Fourth Proportional to 679.73, 1,022.06 and 626.27

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Solution

The fourth proportional to 679.73, 1,022.06 and 626.27 is: 941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.73 : 1,022.06 = 626.27 : x
  2. Step 2: Convert to fraction form
    679.73/1,022.06 = 626.27/x
  3. Step 3: Cross multiply
    679.73x = 1,022.06 × 626.27
  4. Step 4: Simplify right side
    679.73x = 640,082.38
  5. Step 5: Solve for x
    x = 640,082.38/679.73
  6. Step 6: Final answer
    x = 941.67

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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.