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Finding the Fourth Proportional to 938.45, 1,296.38 and 677.84

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Solution

The fourth proportional to 938.45, 1,296.38 and 677.84 is: 936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.45 : 1,296.38 = 677.84 : x
  2. Step 2: Convert to fraction form
    938.45/1,296.38 = 677.84/x
  3. Step 3: Cross multiply
    938.45x = 1,296.38 × 677.84
  4. Step 4: Simplify right side
    938.45x = 878,728.35
  5. Step 5: Solve for x
    x = 878,728.35/938.45
  6. Step 6: Final answer
    x = 936.37

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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.