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Finding the Fourth Proportional to 961.90, 1,443.44 and 741.67

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Solution

The fourth proportional to 961.90, 1,443.44 and 741.67 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.90 : 1,443.44 = 741.67 : x
  2. Step 2: Convert to fraction form
    961.90/1,443.44 = 741.67/x
  3. Step 3: Cross multiply
    961.90x = 1,443.44 × 741.67
  4. Step 4: Simplify right side
    961.90x = 1,070,556.14
  5. Step 5: Solve for x
    x = 1,070,556.14/961.90
  6. Step 6: Final answer
    x = 1,112.96

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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.