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Finding the Fourth Proportional to 1,979.68, 2,969.24 and 518.94

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Solution

The fourth proportional to 1,979.68, 2,969.24 and 518.94 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.68 : 2,969.24 = 518.94 : x
  2. Step 2: Convert to fraction form
    1,979.68/2,969.24 = 518.94/x
  3. Step 3: Cross multiply
    1,979.68x = 2,969.24 × 518.94
  4. Step 4: Simplify right side
    1,979.68x = 1,540,857.41
  5. Step 5: Solve for x
    x = 1,540,857.41/1,979.68
  6. Step 6: Final answer
    x = 778.34

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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.