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Finding the Fourth Proportional to 2,729.77, 4,094.65 and 677.77

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Solution

The fourth proportional to 2,729.77, 4,094.65 and 677.77 is: 1,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.77 : 4,094.65 = 677.77 : x
  2. Step 2: Convert to fraction form
    2,729.77/4,094.65 = 677.77/x
  3. Step 3: Cross multiply
    2,729.77x = 4,094.65 × 677.77
  4. Step 4: Simplify right side
    2,729.77x = 2,775,219.00
  5. Step 5: Solve for x
    x = 2,775,219.00/2,729.77
  6. Step 6: Final answer
    x = 1,016.65

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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.