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Finding the Fourth Proportional to 1,280.96, 1,919.88 and 664.33

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Solution

The fourth proportional to 1,280.96, 1,919.88 and 664.33 is: 995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.96 : 1,919.88 = 664.33 : x
  2. Step 2: Convert to fraction form
    1,280.96/1,919.88 = 664.33/x
  3. Step 3: Cross multiply
    1,280.96x = 1,919.88 × 664.33
  4. Step 4: Simplify right side
    1,280.96x = 1,275,424.28
  5. Step 5: Solve for x
    x = 1,275,424.28/1,280.96
  6. Step 6: Final answer
    x = 995.68

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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.