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Finding the Fourth Proportional to 779.20, 1,168.56 and 266.08

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Solution

The fourth proportional to 779.20, 1,168.56 and 266.08 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,168.56 = 266.08 : x
  2. Step 2: Convert to fraction form
    779.20/1,168.56 = 266.08/x
  3. Step 3: Cross multiply
    779.20x = 1,168.56 × 266.08
  4. Step 4: Simplify right side
    779.20x = 310,930.44
  5. Step 5: Solve for x
    x = 310,930.44/779.20
  6. Step 6: Final answer
    x = 399.04

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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.