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Finding the Fourth Proportional to 735.45, 1,103.36 and 411.05

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Solution

The fourth proportional to 735.45, 1,103.36 and 411.05 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,103.36 = 411.05 : x
  2. Step 2: Convert to fraction form
    735.45/1,103.36 = 411.05/x
  3. Step 3: Cross multiply
    735.45x = 1,103.36 × 411.05
  4. Step 4: Simplify right side
    735.45x = 453,528.56
  5. Step 5: Solve for x
    x = 453,528.56/735.45
  6. Step 6: Final answer
    x = 616.67

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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.