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Finding the Fourth Proportional to 1,268.35, 1,901.63 and 487.69

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Solution

The fourth proportional to 1,268.35, 1,901.63 and 487.69 is: 731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.35 : 1,901.63 = 487.69 : x
  2. Step 2: Convert to fraction form
    1,268.35/1,901.63 = 487.69/x
  3. Step 3: Cross multiply
    1,268.35x = 1,901.63 × 487.69
  4. Step 4: Simplify right side
    1,268.35x = 927,410.35
  5. Step 5: Solve for x
    x = 927,410.35/1,268.35
  6. Step 6: Final answer
    x = 731.20

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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.