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Finding the Fourth Proportional to 2,704.95, 4,058.00 and 855.80

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Solution

The fourth proportional to 2,704.95, 4,058.00 and 855.80 is: 1,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.95 : 4,058.00 = 855.80 : x
  2. Step 2: Convert to fraction form
    2,704.95/4,058.00 = 855.80/x
  3. Step 3: Cross multiply
    2,704.95x = 4,058.00 × 855.80
  4. Step 4: Simplify right side
    2,704.95x = 3,472,811.83
  5. Step 5: Solve for x
    x = 3,472,811.83/2,704.95
  6. Step 6: Final answer
    x = 1,283.87

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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.