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Finding the Fourth Proportional to 1,299.81, 1,794.26 and 880.73

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Solution

The fourth proportional to 1,299.81, 1,794.26 and 880.73 is: 1,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.81 : 1,794.26 = 880.73 : x
  2. Step 2: Convert to fraction form
    1,299.81/1,794.26 = 880.73/x
  3. Step 3: Cross multiply
    1,299.81x = 1,794.26 × 880.73
  4. Step 4: Simplify right side
    1,299.81x = 1,580,251.84
  5. Step 5: Solve for x
    x = 1,580,251.84/1,299.81
  6. Step 6: Final answer
    x = 1,215.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.