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Finding the Fourth Proportional to 1,268.80, 1,902.93 and 344.15

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Solution

The fourth proportional to 1,268.80, 1,902.93 and 344.15 is: 516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.80 : 1,902.93 = 344.15 : x
  2. Step 2: Convert to fraction form
    1,268.80/1,902.93 = 344.15/x
  3. Step 3: Cross multiply
    1,268.80x = 1,902.93 × 344.15
  4. Step 4: Simplify right side
    1,268.80x = 654,889.69
  5. Step 5: Solve for x
    x = 654,889.69/1,268.80
  6. Step 6: Final answer
    x = 516.15

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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.