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Finding the Fourth Proportional to 1,645.38, 2,271.16 and 982

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Solution

The fourth proportional to 1,645.38, 2,271.16 and 982 is: 1,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.38 : 2,271.16 = 982 : x
  2. Step 2: Convert to fraction form
    1,645.38/2,271.16 = 982/x
  3. Step 3: Cross multiply
    1,645.38x = 2,271.16 × 982
  4. Step 4: Simplify right side
    1,645.38x = 2,230,279.12
  5. Step 5: Solve for x
    x = 2,230,279.12/1,645.38
  6. Step 6: Final answer
    x = 1,355.48

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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.