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Finding the Fourth Proportional to 1,299.63, 1,950.38 and 519.18

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Solution

The fourth proportional to 1,299.63, 1,950.38 and 519.18 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.63 : 1,950.38 = 519.18 : x
  2. Step 2: Convert to fraction form
    1,299.63/1,950.38 = 519.18/x
  3. Step 3: Cross multiply
    1,299.63x = 1,950.38 × 519.18
  4. Step 4: Simplify right side
    1,299.63x = 1,012,595.69
  5. Step 5: Solve for x
    x = 1,012,595.69/1,299.63
  6. Step 6: Final answer
    x = 779.14

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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.