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Finding the Fourth Proportional to 858.11, 1,285.34 and 797.97

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Solution

The fourth proportional to 858.11, 1,285.34 and 797.97 is: 1,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.11 : 1,285.34 = 797.97 : x
  2. Step 2: Convert to fraction form
    858.11/1,285.34 = 797.97/x
  3. Step 3: Cross multiply
    858.11x = 1,285.34 × 797.97
  4. Step 4: Simplify right side
    858.11x = 1,025,662.76
  5. Step 5: Solve for x
    x = 1,025,662.76/858.11
  6. Step 6: Final answer
    x = 1,195.26

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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.