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Finding the Fourth Proportional to 1,093.07, 1,508.20 and 620.92

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Solution

The fourth proportional to 1,093.07, 1,508.20 and 620.92 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.07 : 1,508.20 = 620.92 : x
  2. Step 2: Convert to fraction form
    1,093.07/1,508.20 = 620.92/x
  3. Step 3: Cross multiply
    1,093.07x = 1,508.20 × 620.92
  4. Step 4: Simplify right side
    1,093.07x = 936,471.54
  5. Step 5: Solve for x
    x = 936,471.54/1,093.07
  6. Step 6: Final answer
    x = 856.74

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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.