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Finding the Fourth Proportional to 1,280.45, 1,921.07 and 1,060.09

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Solution

The fourth proportional to 1,280.45, 1,921.07 and 1,060.09 is: 1,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.45 : 1,921.07 = 1,060.09 : x
  2. Step 2: Convert to fraction form
    1,280.45/1,921.07 = 1,060.09/x
  3. Step 3: Cross multiply
    1,280.45x = 1,921.07 × 1,060.09
  4. Step 4: Simplify right side
    1,280.45x = 2,036,504.94
  5. Step 5: Solve for x
    x = 2,036,504.94/1,280.45
  6. Step 6: Final answer
    x = 1,590.46

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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.