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Finding the Fourth Proportional to 730.34, 1,094.43 and 712.23

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Solution

The fourth proportional to 730.34, 1,094.43 and 712.23 is: 1,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.34 : 1,094.43 = 712.23 : x
  2. Step 2: Convert to fraction form
    730.34/1,094.43 = 712.23/x
  3. Step 3: Cross multiply
    730.34x = 1,094.43 × 712.23
  4. Step 4: Simplify right side
    730.34x = 779,485.88
  5. Step 5: Solve for x
    x = 779,485.88/730.34
  6. Step 6: Final answer
    x = 1,067.29

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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.