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Finding the Fourth Proportional to 779.20, 1,168.92 and 414.28

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Solution

The fourth proportional to 779.20, 1,168.92 and 414.28 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.20 : 1,168.92 = 414.28 : x
  2. Step 2: Convert to fraction form
    779.20/1,168.92 = 414.28/x
  3. Step 3: Cross multiply
    779.20x = 1,168.92 × 414.28
  4. Step 4: Simplify right side
    779.20x = 484,260.18
  5. Step 5: Solve for x
    x = 484,260.18/779.20
  6. Step 6: Final answer
    x = 621.48

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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.