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Finding the Fourth Proportional to 857.74, 1,286.09 and 418.12

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Solution

The fourth proportional to 857.74, 1,286.09 and 418.12 is: 626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,286.09 = 418.12 : x
  2. Step 2: Convert to fraction form
    857.74/1,286.09 = 418.12/x
  3. Step 3: Cross multiply
    857.74x = 1,286.09 × 418.12
  4. Step 4: Simplify right side
    857.74x = 537,739.95
  5. Step 5: Solve for x
    x = 537,739.95/857.74
  6. Step 6: Final answer
    x = 626.93

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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.