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Finding the Fourth Proportional to 1,647.50, 2,273.76 and 984.72

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Solution

The fourth proportional to 1,647.50, 2,273.76 and 984.72 is: 1,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.50 : 2,273.76 = 984.72 : x
  2. Step 2: Convert to fraction form
    1,647.50/2,273.76 = 984.72/x
  3. Step 3: Cross multiply
    1,647.50x = 2,273.76 × 984.72
  4. Step 4: Simplify right side
    1,647.50x = 2,239,016.95
  5. Step 5: Solve for x
    x = 2,239,016.95/1,647.50
  6. Step 6: Final answer
    x = 1,359.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.