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Finding the Fourth Proportional to 730.35, 1,090.22 and 676.14

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Solution

The fourth proportional to 730.35, 1,090.22 and 676.14 is: 1,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,090.22 = 676.14 : x
  2. Step 2: Convert to fraction form
    730.35/1,090.22 = 676.14/x
  3. Step 3: Cross multiply
    730.35x = 1,090.22 × 676.14
  4. Step 4: Simplify right side
    730.35x = 737,141.35
  5. Step 5: Solve for x
    x = 737,141.35/730.35
  6. Step 6: Final answer
    x = 1,009.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.