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Finding the Fourth Proportional to 746.71, 1,120.34 and 361.69

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Solution

The fourth proportional to 746.71, 1,120.34 and 361.69 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.71 : 1,120.34 = 361.69 : x
  2. Step 2: Convert to fraction form
    746.71/1,120.34 = 361.69/x
  3. Step 3: Cross multiply
    746.71x = 1,120.34 × 361.69
  4. Step 4: Simplify right side
    746.71x = 405,213.88
  5. Step 5: Solve for x
    x = 405,213.88/746.71
  6. Step 6: Final answer
    x = 542.67

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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.