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Finding the Fourth Proportional to 1,979.27, 2,969.09 and 662.97

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Solution

The fourth proportional to 1,979.27, 2,969.09 and 662.97 is: 994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.27 : 2,969.09 = 662.97 : x
  2. Step 2: Convert to fraction form
    1,979.27/2,969.09 = 662.97/x
  3. Step 3: Cross multiply
    1,979.27x = 2,969.09 × 662.97
  4. Step 4: Simplify right side
    1,979.27x = 1,968,417.60
  5. Step 5: Solve for x
    x = 1,968,417.60/1,979.27
  6. Step 6: Final answer
    x = 994.52

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1.5x scale

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.