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Finding the Fourth Proportional to 1,268, 1,902.28 and 538.20

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Solution

The fourth proportional to 1,268, 1,902.28 and 538.20 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268 : 1,902.28 = 538.20 : x
  2. Step 2: Convert to fraction form
    1,268/1,902.28 = 538.20/x
  3. Step 3: Cross multiply
    1,268x = 1,902.28 × 538.20
  4. Step 4: Simplify right side
    1,268x = 1,023,807.10
  5. Step 5: Solve for x
    x = 1,023,807.10/1,268
  6. Step 6: Final answer
    x = 807.42

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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.