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Finding the Fourth Proportional to 1,188.12, 1,638.96 and 795.26

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Solution

The fourth proportional to 1,188.12, 1,638.96 and 795.26 is: 1,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.12 : 1,638.96 = 795.26 : x
  2. Step 2: Convert to fraction form
    1,188.12/1,638.96 = 795.26/x
  3. Step 3: Cross multiply
    1,188.12x = 1,638.96 × 795.26
  4. Step 4: Simplify right side
    1,188.12x = 1,303,399.33
  5. Step 5: Solve for x
    x = 1,303,399.33/1,188.12
  6. Step 6: Final answer
    x = 1,097.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.