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Finding the Fourth Proportional to 851.50, 1,278.16 and 419.57

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Solution

The fourth proportional to 851.50, 1,278.16 and 419.57 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.50 : 1,278.16 = 419.57 : x
  2. Step 2: Convert to fraction form
    851.50/1,278.16 = 419.57/x
  3. Step 3: Cross multiply
    851.50x = 1,278.16 × 419.57
  4. Step 4: Simplify right side
    851.50x = 536,277.59
  5. Step 5: Solve for x
    x = 536,277.59/851.50
  6. Step 6: Final answer
    x = 629.80

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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.