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Finding the Fourth Proportional to 992.72, 1,370.83 and 620.34

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Solution

The fourth proportional to 992.72, 1,370.83 and 620.34 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.72 : 1,370.83 = 620.34 : x
  2. Step 2: Convert to fraction form
    992.72/1,370.83 = 620.34/x
  3. Step 3: Cross multiply
    992.72x = 1,370.83 × 620.34
  4. Step 4: Simplify right side
    992.72x = 850,375.70
  5. Step 5: Solve for x
    x = 850,375.70/992.72
  6. Step 6: Final answer
    x = 856.61

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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.