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Finding the Fourth Proportional to 1,073.20, 1,609.83 and 379.77

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Solution

The fourth proportional to 1,073.20, 1,609.83 and 379.77 is: 569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.20 : 1,609.83 = 379.77 : x
  2. Step 2: Convert to fraction form
    1,073.20/1,609.83 = 379.77/x
  3. Step 3: Cross multiply
    1,073.20x = 1,609.83 × 379.77
  4. Step 4: Simplify right side
    1,073.20x = 611,365.14
  5. Step 5: Solve for x
    x = 611,365.14/1,073.20
  6. Step 6: Final answer
    x = 569.67

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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.