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Finding the Fourth Proportional to 1,367.59, 2,049.99 and 751.09

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Solution

The fourth proportional to 1,367.59, 2,049.99 and 751.09 is: 1,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.59 : 2,049.99 = 751.09 : x
  2. Step 2: Convert to fraction form
    1,367.59/2,049.99 = 751.09/x
  3. Step 3: Cross multiply
    1,367.59x = 2,049.99 × 751.09
  4. Step 4: Simplify right side
    1,367.59x = 1,539,726.99
  5. Step 5: Solve for x
    x = 1,539,726.99/1,367.59
  6. Step 6: Final answer
    x = 1,125.87

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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.