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Finding the Fourth Proportional to 1,016.83, 1,520.97 and 942.97

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Solution

The fourth proportional to 1,016.83, 1,520.97 and 942.97 is: 1,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.83 : 1,520.97 = 942.97 : x
  2. Step 2: Convert to fraction form
    1,016.83/1,520.97 = 942.97/x
  3. Step 3: Cross multiply
    1,016.83x = 1,520.97 × 942.97
  4. Step 4: Simplify right side
    1,016.83x = 1,434,229.08
  5. Step 5: Solve for x
    x = 1,434,229.08/1,016.83
  6. Step 6: Final answer
    x = 1,410.49

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1.5x scale

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.