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Finding the Fourth Proportional to 2,676.66, 4,014.45 and 728.70

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Solution

The fourth proportional to 2,676.66, 4,014.45 and 728.70 is: 1,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.66 : 4,014.45 = 728.70 : x
  2. Step 2: Convert to fraction form
    2,676.66/4,014.45 = 728.70/x
  3. Step 3: Cross multiply
    2,676.66x = 4,014.45 × 728.70
  4. Step 4: Simplify right side
    2,676.66x = 2,925,329.72
  5. Step 5: Solve for x
    x = 2,925,329.72/2,676.66
  6. Step 6: Final answer
    x = 1,092.90

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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.