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Finding the Fourth Proportional to 779.88, 1,169.42 and 259.69

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Solution

The fourth proportional to 779.88, 1,169.42 and 259.69 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.88 : 1,169.42 = 259.69 : x
  2. Step 2: Convert to fraction form
    779.88/1,169.42 = 259.69/x
  3. Step 3: Cross multiply
    779.88x = 1,169.42 × 259.69
  4. Step 4: Simplify right side
    779.88x = 303,692.32
  5. Step 5: Solve for x
    x = 303,692.32/779.88
  6. Step 6: Final answer
    x = 389.41

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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.