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Finding the Fourth Proportional to 1,321.97, 1,982.55 and 913.73

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Solution

The fourth proportional to 1,321.97, 1,982.55 and 913.73 is: 1,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.97 : 1,982.55 = 913.73 : x
  2. Step 2: Convert to fraction form
    1,321.97/1,982.55 = 913.73/x
  3. Step 3: Cross multiply
    1,321.97x = 1,982.55 × 913.73
  4. Step 4: Simplify right side
    1,321.97x = 1,811,520.37
  5. Step 5: Solve for x
    x = 1,811,520.37/1,321.97
  6. Step 6: Final answer
    x = 1,370.32

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1.5x scale

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.