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Finding the Fourth Proportional to 852.46, 1,278.20 and 419.60

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Solution

The fourth proportional to 852.46, 1,278.20 and 419.60 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.46 : 1,278.20 = 419.60 : x
  2. Step 2: Convert to fraction form
    852.46/1,278.20 = 419.60/x
  3. Step 3: Cross multiply
    852.46x = 1,278.20 × 419.60
  4. Step 4: Simplify right side
    852.46x = 536,336.96
  5. Step 5: Solve for x
    x = 536,336.96/852.46
  6. Step 6: Final answer
    x = 629.17

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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.