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Finding the Fourth Proportional to 1,339.99, 2,009.99 and 518.65

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Solution

The fourth proportional to 1,339.99, 2,009.99 and 518.65 is: 777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.99 : 2,009.99 = 518.65 : x
  2. Step 2: Convert to fraction form
    1,339.99/2,009.99 = 518.65/x
  3. Step 3: Cross multiply
    1,339.99x = 2,009.99 × 518.65
  4. Step 4: Simplify right side
    1,339.99x = 1,042,481.31
  5. Step 5: Solve for x
    x = 1,042,481.31/1,339.99
  6. Step 6: Final answer
    x = 777.98

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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.