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Finding the Fourth Proportional to 1,072.37, 1,609.11 and 812.30

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Solution

The fourth proportional to 1,072.37, 1,609.11 and 812.30 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.37 : 1,609.11 = 812.30 : x
  2. Step 2: Convert to fraction form
    1,072.37/1,609.11 = 812.30/x
  3. Step 3: Cross multiply
    1,072.37x = 1,609.11 × 812.30
  4. Step 4: Simplify right side
    1,072.37x = 1,307,072.01
  5. Step 5: Solve for x
    x = 1,307,072.01/1,072.37
  6. Step 6: Final answer
    x = 1,218.86

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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.