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Finding the Fourth Proportional to 982.09, 1,466.23 and 749.76

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Solution

The fourth proportional to 982.09, 1,466.23 and 749.76 is: 1,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.09 : 1,466.23 = 749.76 : x
  2. Step 2: Convert to fraction form
    982.09/1,466.23 = 749.76/x
  3. Step 3: Cross multiply
    982.09x = 1,466.23 × 749.76
  4. Step 4: Simplify right side
    982.09x = 1,099,320.60
  5. Step 5: Solve for x
    x = 1,099,320.60/982.09
  6. Step 6: Final answer
    x = 1,119.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.