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Finding the Fourth Proportional to 1,072.37, 1,609.06 and 379.56

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Solution

The fourth proportional to 1,072.37, 1,609.06 and 379.56 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.37 : 1,609.06 = 379.56 : x
  2. Step 2: Convert to fraction form
    1,072.37/1,609.06 = 379.56/x
  3. Step 3: Cross multiply
    1,072.37x = 1,609.06 × 379.56
  4. Step 4: Simplify right side
    1,072.37x = 610,734.81
  5. Step 5: Solve for x
    x = 610,734.81/1,072.37
  6. Step 6: Final answer
    x = 569.52

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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.