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Finding the Fourth Proportional to 746.71, 1,031.49 and 680.21

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Solution

The fourth proportional to 746.71, 1,031.49 and 680.21 is: 939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.71 : 1,031.49 = 680.21 : x
  2. Step 2: Convert to fraction form
    746.71/1,031.49 = 680.21/x
  3. Step 3: Cross multiply
    746.71x = 1,031.49 × 680.21
  4. Step 4: Simplify right side
    746.71x = 701,629.81
  5. Step 5: Solve for x
    x = 701,629.81/746.71
  6. Step 6: Final answer
    x = 939.63

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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.