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Finding the Fourth Proportional to 1,642.26, 2,458.52 and 991.02

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Solution

The fourth proportional to 1,642.26, 2,458.52 and 991.02 is: 1,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.26 : 2,458.52 = 991.02 : x
  2. Step 2: Convert to fraction form
    1,642.26/2,458.52 = 991.02/x
  3. Step 3: Cross multiply
    1,642.26x = 2,458.52 × 991.02
  4. Step 4: Simplify right side
    1,642.26x = 2,436,437.54
  5. Step 5: Solve for x
    x = 2,436,437.54/1,642.26
  6. Step 6: Final answer
    x = 1,483.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.