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Finding the Fourth Proportional to 1,239.99, 1,698.50 and 1,224.19

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Solution

The fourth proportional to 1,239.99, 1,698.50 and 1,224.19 is: 1,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.99 : 1,698.50 = 1,224.19 : x
  2. Step 2: Convert to fraction form
    1,239.99/1,698.50 = 1,224.19/x
  3. Step 3: Cross multiply
    1,239.99x = 1,698.50 × 1,224.19
  4. Step 4: Simplify right side
    1,239.99x = 2,079,286.72
  5. Step 5: Solve for x
    x = 2,079,286.72/1,239.99
  6. Step 6: Final answer
    x = 1,676.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.