Home / 1,280.98-1,921.45-415.29

Finding the Fourth Proportional to 1,280.98, 1,921.45 and 415.29

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Solution

The fourth proportional to 1,280.98, 1,921.45 and 415.29 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.98 : 1,921.45 = 415.29 : x
  2. Step 2: Convert to fraction form
    1,280.98/1,921.45 = 415.29/x
  3. Step 3: Cross multiply
    1,280.98x = 1,921.45 × 415.29
  4. Step 4: Simplify right side
    1,280.98x = 797,958.97
  5. Step 5: Solve for x
    x = 797,958.97/1,280.98
  6. Step 6: Final answer
    x = 622.93

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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.