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Finding the Fourth Proportional to 1,099.12, 1,516.93 and 620.67

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Solution

The fourth proportional to 1,099.12, 1,516.93 and 620.67 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.12 : 1,516.93 = 620.67 : x
  2. Step 2: Convert to fraction form
    1,099.12/1,516.93 = 620.67/x
  3. Step 3: Cross multiply
    1,099.12x = 1,516.93 × 620.67
  4. Step 4: Simplify right side
    1,099.12x = 941,512.94
  5. Step 5: Solve for x
    x = 941,512.94/1,099.12
  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.