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Finding the Fourth Proportional to 1,299.79, 1,949.69 and 519.74

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Solution

The fourth proportional to 1,299.79, 1,949.69 and 519.74 is: 779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.79 : 1,949.69 = 519.74 : x
  2. Step 2: Convert to fraction form
    1,299.79/1,949.69 = 519.74/x
  3. Step 3: Cross multiply
    1,299.79x = 1,949.69 × 519.74
  4. Step 4: Simplify right side
    1,299.79x = 1,013,331.88
  5. Step 5: Solve for x
    x = 1,013,331.88/1,299.79
  6. Step 6: Final answer
    x = 779.61

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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.