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Finding the Fourth Proportional to 1,646.24, 2,272.43 and 982.85

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Solution

The fourth proportional to 1,646.24, 2,272.43 and 982.85 is: 1,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.24 : 2,272.43 = 982.85 : x
  2. Step 2: Convert to fraction form
    1,646.24/2,272.43 = 982.85/x
  3. Step 3: Cross multiply
    1,646.24x = 2,272.43 × 982.85
  4. Step 4: Simplify right side
    1,646.24x = 2,233,452.14
  5. Step 5: Solve for x
    x = 2,233,452.14/1,646.24
  6. Step 6: Final answer
    x = 1,356.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.