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Finding the Fourth Proportional to 1,979.37, 2,969.19 and 746.75

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Solution

The fourth proportional to 1,979.37, 2,969.19 and 746.75 is: 1,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.37 : 2,969.19 = 746.75 : x
  2. Step 2: Convert to fraction form
    1,979.37/2,969.19 = 746.75/x
  3. Step 3: Cross multiply
    1,979.37x = 2,969.19 × 746.75
  4. Step 4: Simplify right side
    1,979.37x = 2,217,227.79
  5. Step 5: Solve for x
    x = 2,217,227.79/1,979.37
  6. Step 6: Final answer
    x = 1,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.