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Finding the Fourth Proportional to 1,268.27, 1,903.25 and 446.55

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Solution

The fourth proportional to 1,268.27, 1,903.25 and 446.55 is: 670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.27 : 1,903.25 = 446.55 : x
  2. Step 2: Convert to fraction form
    1,268.27/1,903.25 = 446.55/x
  3. Step 3: Cross multiply
    1,268.27x = 1,903.25 × 446.55
  4. Step 4: Simplify right side
    1,268.27x = 849,896.29
  5. Step 5: Solve for x
    x = 849,896.29/1,268.27
  6. Step 6: Final answer
    x = 670.12

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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.