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Finding the Fourth Proportional to 1,268.70, 1,903.05 and 920.40

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Solution

The fourth proportional to 1,268.70, 1,903.05 and 920.40 is: 1,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.70 : 1,903.05 = 920.40 : x
  2. Step 2: Convert to fraction form
    1,268.70/1,903.05 = 920.40/x
  3. Step 3: Cross multiply
    1,268.70x = 1,903.05 × 920.40
  4. Step 4: Simplify right side
    1,268.70x = 1,751,567.22
  5. Step 5: Solve for x
    x = 1,751,567.22/1,268.70
  6. Step 6: Final answer
    x = 1,380.60

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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.