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Finding the Fourth Proportional to 852.25, 1,278.68 and 419.71

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Solution

The fourth proportional to 852.25, 1,278.68 and 419.71 is: 629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,278.68 = 419.71 : x
  2. Step 2: Convert to fraction form
    852.25/1,278.68 = 419.71/x
  3. Step 3: Cross multiply
    852.25x = 1,278.68 × 419.71
  4. Step 4: Simplify right side
    852.25x = 536,672.68
  5. Step 5: Solve for x
    x = 536,672.68/852.25
  6. Step 6: Final answer
    x = 629.71

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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.