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Finding the Fourth Proportional to 1,138.83, 1,707.22 and 445.96

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Solution

The fourth proportional to 1,138.83, 1,707.22 and 445.96 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.83 : 1,707.22 = 445.96 : x
  2. Step 2: Convert to fraction form
    1,138.83/1,707.22 = 445.96/x
  3. Step 3: Cross multiply
    1,138.83x = 1,707.22 × 445.96
  4. Step 4: Simplify right side
    1,138.83x = 761,351.83
  5. Step 5: Solve for x
    x = 761,351.83/1,138.83
  6. Step 6: Final answer
    x = 668.54

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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.