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Finding the Fourth Proportional to 1,689.38, 2,533.99 and 519.33

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Solution

The fourth proportional to 1,689.38, 2,533.99 and 519.33 is: 778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.38 : 2,533.99 = 519.33 : x
  2. Step 2: Convert to fraction form
    1,689.38/2,533.99 = 519.33/x
  3. Step 3: Cross multiply
    1,689.38x = 2,533.99 × 519.33
  4. Step 4: Simplify right side
    1,689.38x = 1,315,977.03
  5. Step 5: Solve for x
    x = 1,315,977.03/1,689.38
  6. Step 6: Final answer
    x = 778.97

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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.