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Finding the Fourth Proportional to 1,644.10, 2,268.01 and 1,113.00

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Solution

The fourth proportional to 1,644.10, 2,268.01 and 1,113.00 is: 1,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.10 : 2,268.01 = 1,113.00 : x
  2. Step 2: Convert to fraction form
    1,644.10/2,268.01 = 1,113.00/x
  3. Step 3: Cross multiply
    1,644.10x = 2,268.01 × 1,113.00
  4. Step 4: Simplify right side
    1,644.10x = 2,524,281.01
  5. Step 5: Solve for x
    x = 2,524,281.01/1,644.10
  6. Step 6: Final answer
    x = 1,535.36

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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.