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Finding the Fourth Proportional to 855.83, 1,173.33 and 840.26

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Solution

The fourth proportional to 855.83, 1,173.33 and 840.26 is: 1,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.83 : 1,173.33 = 840.26 : x
  2. Step 2: Convert to fraction form
    855.83/1,173.33 = 840.26/x
  3. Step 3: Cross multiply
    855.83x = 1,173.33 × 840.26
  4. Step 4: Simplify right side
    855.83x = 985,896.40
  5. Step 5: Solve for x
    x = 985,896.40/855.83
  6. Step 6: Final answer
    x = 1,151.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.