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Finding the Fourth Proportional to 775.44, 1,164.60 and 678.24

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Solution

The fourth proportional to 775.44, 1,164.60 and 678.24 is: 1,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.44 : 1,164.60 = 678.24 : x
  2. Step 2: Convert to fraction form
    775.44/1,164.60 = 678.24/x
  3. Step 3: Cross multiply
    775.44x = 1,164.60 × 678.24
  4. Step 4: Simplify right side
    775.44x = 789,878.30
  5. Step 5: Solve for x
    x = 789,878.30/775.44
  6. Step 6: Final answer
    x = 1,018.62

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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.