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Finding the Fourth Proportional to 1,704.42, 2,555.82 and 779.70

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Solution

The fourth proportional to 1,704.42, 2,555.82 and 779.70 is: 1,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.42 : 2,555.82 = 779.70 : x
  2. Step 2: Convert to fraction form
    1,704.42/2,555.82 = 779.70/x
  3. Step 3: Cross multiply
    1,704.42x = 2,555.82 × 779.70
  4. Step 4: Simplify right side
    1,704.42x = 1,992,772.85
  5. Step 5: Solve for x
    x = 1,992,772.85/1,704.42
  6. Step 6: Final answer
    x = 1,169.18

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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.