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Finding the Fourth Proportional to 1,268.67, 1,903.86 and 538.23

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Solution

The fourth proportional to 1,268.67, 1,903.86 and 538.23 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.67 : 1,903.86 = 538.23 : x
  2. Step 2: Convert to fraction form
    1,268.67/1,903.86 = 538.23/x
  3. Step 3: Cross multiply
    1,268.67x = 1,903.86 × 538.23
  4. Step 4: Simplify right side
    1,268.67x = 1,024,714.57
  5. Step 5: Solve for x
    x = 1,024,714.57/1,268.67
  6. Step 6: Final answer
    x = 807.71

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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.