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Finding the Fourth Proportional to 938.75, 1,293.80 and 728.28

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Solution

The fourth proportional to 938.75, 1,293.80 and 728.28 is: 1,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.75 : 1,293.80 = 728.28 : x
  2. Step 2: Convert to fraction form
    938.75/1,293.80 = 728.28/x
  3. Step 3: Cross multiply
    938.75x = 1,293.80 × 728.28
  4. Step 4: Simplify right side
    938.75x = 942,245.02
  5. Step 5: Solve for x
    x = 942,245.02/938.75
  6. Step 6: Final answer
    x = 1,003.73

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1.5x scale

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.