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Finding the Fourth Proportional to 982.70, 1,353.48 and 908.79

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Solution

The fourth proportional to 982.70, 1,353.48 and 908.79 is: 1,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.70 : 1,353.48 = 908.79 : x
  2. Step 2: Convert to fraction form
    982.70/1,353.48 = 908.79/x
  3. Step 3: Cross multiply
    982.70x = 1,353.48 × 908.79
  4. Step 4: Simplify right side
    982.70x = 1,230,029.09
  5. Step 5: Solve for x
    x = 1,230,029.09/982.70
  6. Step 6: Final answer
    x = 1,251.69

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1.5x scale

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.