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Finding the Fourth Proportional to 857, 1,285.22 and 369.92

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Solution

The fourth proportional to 857, 1,285.22 and 369.92 is: 554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,285.22 = 369.92 : x
  2. Step 2: Convert to fraction form
    857/1,285.22 = 369.92/x
  3. Step 3: Cross multiply
    857x = 1,285.22 × 369.92
  4. Step 4: Simplify right side
    857x = 475,428.58
  5. Step 5: Solve for x
    x = 475,428.58/857
  6. Step 6: Final answer
    x = 554.76

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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.