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Finding the Fourth Proportional to 1,092.80, 1,508.08 and 620.80

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Solution

The fourth proportional to 1,092.80, 1,508.08 and 620.80 is: 856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.80 : 1,508.08 = 620.80 : x
  2. Step 2: Convert to fraction form
    1,092.80/1,508.08 = 620.80/x
  3. Step 3: Cross multiply
    1,092.80x = 1,508.08 × 620.80
  4. Step 4: Simplify right side
    1,092.80x = 936,216.06
  5. Step 5: Solve for x
    x = 936,216.06/1,092.80
  6. Step 6: Final answer
    x = 856.71

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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.