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Finding the Fourth Proportional to 1,016.40, 1,401.94 and 982.54

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Solution

The fourth proportional to 1,016.40, 1,401.94 and 982.54 is: 1,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.40 : 1,401.94 = 982.54 : x
  2. Step 2: Convert to fraction form
    1,016.40/1,401.94 = 982.54/x
  3. Step 3: Cross multiply
    1,016.40x = 1,401.94 × 982.54
  4. Step 4: Simplify right side
    1,016.40x = 1,377,462.13
  5. Step 5: Solve for x
    x = 1,377,462.13/1,016.40
  6. Step 6: Final answer
    x = 1,355.24

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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.