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Finding the Fourth Proportional to 728.10, 1,090.05 and 676.85

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Solution

The fourth proportional to 728.10, 1,090.05 and 676.85 is: 1,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 1,090.05 = 676.85 : x
  2. Step 2: Convert to fraction form
    728.10/1,090.05 = 676.85/x
  3. Step 3: Cross multiply
    728.10x = 1,090.05 × 676.85
  4. Step 4: Simplify right side
    728.10x = 737,794.89
  5. Step 5: Solve for x
    x = 737,794.89/728.10
  6. Step 6: Final answer
    x = 1,013.32

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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.