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Finding the Fourth Proportional to 1,094.44, 1,638.90 and 728.12

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Solution

The fourth proportional to 1,094.44, 1,638.90 and 728.12 is: 1,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.44 : 1,638.90 = 728.12 : x
  2. Step 2: Convert to fraction form
    1,094.44/1,638.90 = 728.12/x
  3. Step 3: Cross multiply
    1,094.44x = 1,638.90 × 728.12
  4. Step 4: Simplify right side
    1,094.44x = 1,193,315.87
  5. Step 5: Solve for x
    x = 1,193,315.87/1,094.44
  6. Step 6: Final answer
    x = 1,090.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.