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Finding the Fourth Proportional to 1,450.60, 1,999.94 and 984.04

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Solution

The fourth proportional to 1,450.60, 1,999.94 and 984.04 is: 1,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.60 : 1,999.94 = 984.04 : x
  2. Step 2: Convert to fraction form
    1,450.60/1,999.94 = 984.04/x
  3. Step 3: Cross multiply
    1,450.60x = 1,999.94 × 984.04
  4. Step 4: Simplify right side
    1,450.60x = 1,968,020.96
  5. Step 5: Solve for x
    x = 1,968,020.96/1,450.60
  6. Step 6: Final answer
    x = 1,356.69

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Why These Related Problems?

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