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Finding the Fourth Proportional to 982.80, 1,474.20 and 903.60

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Solution

The fourth proportional to 982.80, 1,474.20 and 903.60 is: 1,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,474.20 = 903.60 : x
  2. Step 2: Convert to fraction form
    982.80/1,474.20 = 903.60/x
  3. Step 3: Cross multiply
    982.80x = 1,474.20 × 903.60
  4. Step 4: Simplify right side
    982.80x = 1,332,087.12
  5. Step 5: Solve for x
    x = 1,332,087.12/982.80
  6. Step 6: Final answer
    x = 1,355.40

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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.