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Finding the Fourth Proportional to 1,468.99, 2,027.84 and 879.41

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Solution

The fourth proportional to 1,468.99, 2,027.84 and 879.41 is: 1,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.99 : 2,027.84 = 879.41 : x
  2. Step 2: Convert to fraction form
    1,468.99/2,027.84 = 879.41/x
  3. Step 3: Cross multiply
    1,468.99x = 2,027.84 × 879.41
  4. Step 4: Simplify right side
    1,468.99x = 1,783,302.77
  5. Step 5: Solve for x
    x = 1,783,302.77/1,468.99
  6. Step 6: Final answer
    x = 1,213.97

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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.