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Finding the Fourth Proportional to 1,704.90, 2,555.30 and 779.60

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Solution

The fourth proportional to 1,704.90, 2,555.30 and 779.60 is: 1,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.90 : 2,555.30 = 779.60 : x
  2. Step 2: Convert to fraction form
    1,704.90/2,555.30 = 779.60/x
  3. Step 3: Cross multiply
    1,704.90x = 2,555.30 × 779.60
  4. Step 4: Simplify right side
    1,704.90x = 1,992,111.88
  5. Step 5: Solve for x
    x = 1,992,111.88/1,704.90
  6. Step 6: Final answer
    x = 1,168.46

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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.