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Finding the Fourth Proportional to 852.14, 1,278.21 and 419.60

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Solution

The fourth proportional to 852.14, 1,278.21 and 419.60 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.14 : 1,278.21 = 419.60 : x
  2. Step 2: Convert to fraction form
    852.14/1,278.21 = 419.60/x
  3. Step 3: Cross multiply
    852.14x = 1,278.21 × 419.60
  4. Step 4: Simplify right side
    852.14x = 536,336.92
  5. Step 5: Solve for x
    x = 536,336.92/852.14
  6. Step 6: Final answer
    x = 629.40

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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.