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Finding the Fourth Proportional to 1,979.52, 2,969.95 and 663.41

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Solution

The fourth proportional to 1,979.52, 2,969.95 and 663.41 is: 995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.52 : 2,969.95 = 663.41 : x
  2. Step 2: Convert to fraction form
    1,979.52/2,969.95 = 663.41/x
  3. Step 3: Cross multiply
    1,979.52x = 2,969.95 × 663.41
  4. Step 4: Simplify right side
    1,979.52x = 1,970,276.36
  5. Step 5: Solve for x
    x = 1,970,276.36/1,979.52
  6. Step 6: Final answer
    x = 995.33

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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.