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Finding the Fourth Proportional to 867.90, 1,189.10 and 855.75

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Solution

The fourth proportional to 867.90, 1,189.10 and 855.75 is: 1,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.90 : 1,189.10 = 855.75 : x
  2. Step 2: Convert to fraction form
    867.90/1,189.10 = 855.75/x
  3. Step 3: Cross multiply
    867.90x = 1,189.10 × 855.75
  4. Step 4: Simplify right side
    867.90x = 1,017,568.05
  5. Step 5: Solve for x
    x = 1,017,568.05/867.90
  6. Step 6: Final answer
    x = 1,172.45

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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.