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Finding the Fourth Proportional to 1,072.11, 1,608.12 and 455.79

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Solution

The fourth proportional to 1,072.11, 1,608.12 and 455.79 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.11 : 1,608.12 = 455.79 : x
  2. Step 2: Convert to fraction form
    1,072.11/1,608.12 = 455.79/x
  3. Step 3: Cross multiply
    1,072.11x = 1,608.12 × 455.79
  4. Step 4: Simplify right side
    1,072.11x = 732,965.01
  5. Step 5: Solve for x
    x = 732,965.01/1,072.11
  6. Step 6: Final answer
    x = 683.67

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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.