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Finding the Fourth Proportional to 1,268.10, 1,900.86 and 487.91

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Solution

The fourth proportional to 1,268.10, 1,900.86 and 487.91 is: 731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.10 : 1,900.86 = 487.91 : x
  2. Step 2: Convert to fraction form
    1,268.10/1,900.86 = 487.91/x
  3. Step 3: Cross multiply
    1,268.10x = 1,900.86 × 487.91
  4. Step 4: Simplify right side
    1,268.10x = 927,448.60
  5. Step 5: Solve for x
    x = 927,448.60/1,268.10
  6. Step 6: Final answer
    x = 731.37

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Why These Related Problems?

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