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Finding the Fourth Proportional to 1,442.73, 2,163.17 and 857.57

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Solution

The fourth proportional to 1,442.73, 2,163.17 and 857.57 is: 1,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.73 : 2,163.17 = 857.57 : x
  2. Step 2: Convert to fraction form
    1,442.73/2,163.17 = 857.57/x
  3. Step 3: Cross multiply
    1,442.73x = 2,163.17 × 857.57
  4. Step 4: Simplify right side
    1,442.73x = 1,855,065.41
  5. Step 5: Solve for x
    x = 1,855,065.41/1,442.73
  6. Step 6: Final answer
    x = 1,285.81

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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.