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Finding the Fourth Proportional to 735.75, 1,100.90 and 443.42

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Solution

The fourth proportional to 735.75, 1,100.90 and 443.42 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,100.90 = 443.42 : x
  2. Step 2: Convert to fraction form
    735.75/1,100.90 = 443.42/x
  3. Step 3: Cross multiply
    735.75x = 1,100.90 × 443.42
  4. Step 4: Simplify right side
    735.75x = 488,160.81
  5. Step 5: Solve for x
    x = 488,160.81/735.75
  6. Step 6: Final answer
    x = 663.49

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Double scale
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1.5x scale

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.