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Finding the Fourth Proportional to 982.49, 1,355.38 and 628.23

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Solution

The fourth proportional to 982.49, 1,355.38 and 628.23 is: 866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.49 : 1,355.38 = 628.23 : x
  2. Step 2: Convert to fraction form
    982.49/1,355.38 = 628.23/x
  3. Step 3: Cross multiply
    982.49x = 1,355.38 × 628.23
  4. Step 4: Simplify right side
    982.49x = 851,488.81
  5. Step 5: Solve for x
    x = 851,488.81/982.49
  6. Step 6: Final answer
    x = 866.67

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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.