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Finding the Fourth Proportional to 1,278.90, 1,763.28 and 1,069.38

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Solution

The fourth proportional to 1,278.90, 1,763.28 and 1,069.38 is: 1,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.90 : 1,763.28 = 1,069.38 : x
  2. Step 2: Convert to fraction form
    1,278.90/1,763.28 = 1,069.38/x
  3. Step 3: Cross multiply
    1,278.90x = 1,763.28 × 1,069.38
  4. Step 4: Simplify right side
    1,278.90x = 1,885,616.37
  5. Step 5: Solve for x
    x = 1,885,616.37/1,278.90
  6. Step 6: Final answer
    x = 1,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.