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Finding the Fourth Proportional to 746.26, 1,028.74 and 668.50

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Solution

The fourth proportional to 746.26, 1,028.74 and 668.50 is: 921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.26 : 1,028.74 = 668.50 : x
  2. Step 2: Convert to fraction form
    746.26/1,028.74 = 668.50/x
  3. Step 3: Cross multiply
    746.26x = 1,028.74 × 668.50
  4. Step 4: Simplify right side
    746.26x = 687,705.88
  5. Step 5: Solve for x
    x = 687,705.88/746.26
  6. Step 6: Final answer
    x = 921.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.