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Finding the Fourth Proportional to 983.82, 1,348.87 and 966.27

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Solution

The fourth proportional to 983.82, 1,348.87 and 966.27 is: 1,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.82 : 1,348.87 = 966.27 : x
  2. Step 2: Convert to fraction form
    983.82/1,348.87 = 966.27/x
  3. Step 3: Cross multiply
    983.82x = 1,348.87 × 966.27
  4. Step 4: Simplify right side
    983.82x = 1,303,372.61
  5. Step 5: Solve for x
    x = 1,303,372.61/983.82
  6. Step 6: Final answer
    x = 1,324.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.