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Finding the Fourth Proportional to 779.12, 1,168.56 and 259.48

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Solution

The fourth proportional to 779.12, 1,168.56 and 259.48 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,168.56 = 259.48 : x
  2. Step 2: Convert to fraction form
    779.12/1,168.56 = 259.48/x
  3. Step 3: Cross multiply
    779.12x = 1,168.56 × 259.48
  4. Step 4: Simplify right side
    779.12x = 303,217.95
  5. Step 5: Solve for x
    x = 303,217.95/779.12
  6. Step 6: Final answer
    x = 389.18

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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.