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Finding the Fourth Proportional to 920.10, 1,268.28 and 680.41

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Solution

The fourth proportional to 920.10, 1,268.28 and 680.41 is: 937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.10 : 1,268.28 = 680.41 : x
  2. Step 2: Convert to fraction form
    920.10/1,268.28 = 680.41/x
  3. Step 3: Cross multiply
    920.10x = 1,268.28 × 680.41
  4. Step 4: Simplify right side
    920.10x = 862,947.22
  5. Step 5: Solve for x
    x = 862,947.22/920.10
  6. Step 6: Final answer
    x = 937.88

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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.