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Finding the Fourth Proportional to 855.63, 1,181.34 and 541.26

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Solution

The fourth proportional to 855.63, 1,181.34 and 541.26 is: 747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.63 : 1,181.34 = 541.26 : x
  2. Step 2: Convert to fraction form
    855.63/1,181.34 = 541.26/x
  3. Step 3: Cross multiply
    855.63x = 1,181.34 × 541.26
  4. Step 4: Simplify right side
    855.63x = 639,412.09
  5. Step 5: Solve for x
    x = 639,412.09/855.63
  6. Step 6: Final answer
    x = 747.30

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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.