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Finding the Fourth Proportional to 855.82, 1,288.33 and 736.75

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Solution

The fourth proportional to 855.82, 1,288.33 and 736.75 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.82 : 1,288.33 = 736.75 : x
  2. Step 2: Convert to fraction form
    855.82/1,288.33 = 736.75/x
  3. Step 3: Cross multiply
    855.82x = 1,288.33 × 736.75
  4. Step 4: Simplify right side
    855.82x = 949,177.13
  5. Step 5: Solve for x
    x = 949,177.13/855.82
  6. Step 6: Final answer
    x = 1,109.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.