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Finding the Fourth Proportional to 1,299.42, 1,949.91 and 519.81

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Solution

The fourth proportional to 1,299.42, 1,949.91 and 519.81 is: 780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.42 : 1,949.91 = 519.81 : x
  2. Step 2: Convert to fraction form
    1,299.42/1,949.91 = 519.81/x
  3. Step 3: Cross multiply
    1,299.42x = 1,949.91 × 519.81
  4. Step 4: Simplify right side
    1,299.42x = 1,013,582.72
  5. Step 5: Solve for x
    x = 1,013,582.72/1,299.42
  6. Step 6: Final answer
    x = 780.03

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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.