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Finding the Fourth Proportional to 990.90, 1,494.32 and 984.42

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Solution

The fourth proportional to 990.90, 1,494.32 and 984.42 is: 1,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.90 : 1,494.32 = 984.42 : x
  2. Step 2: Convert to fraction form
    990.90/1,494.32 = 984.42/x
  3. Step 3: Cross multiply
    990.90x = 1,494.32 × 984.42
  4. Step 4: Simplify right side
    990.90x = 1,471,033.57
  5. Step 5: Solve for x
    x = 1,471,033.57/990.90
  6. Step 6: Final answer
    x = 1,484.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.