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Finding the Fourth Proportional to 1,620.74, 2,427.60 and 1,004.60

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Solution

The fourth proportional to 1,620.74, 2,427.60 and 1,004.60 is: 1,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.74 : 2,427.60 = 1,004.60 : x
  2. Step 2: Convert to fraction form
    1,620.74/2,427.60 = 1,004.60/x
  3. Step 3: Cross multiply
    1,620.74x = 2,427.60 × 1,004.60
  4. Step 4: Simplify right side
    1,620.74x = 2,438,766.96
  5. Step 5: Solve for x
    x = 2,438,766.96/1,620.74
  6. Step 6: Final answer
    x = 1,504.72

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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.