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Finding the Fourth Proportional to 735.84, 1,103.12 and 443.92

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Solution

The fourth proportional to 735.84, 1,103.12 and 443.92 is: 665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,103.12 = 443.92 : x
  2. Step 2: Convert to fraction form
    735.84/1,103.12 = 443.92/x
  3. Step 3: Cross multiply
    735.84x = 1,103.12 × 443.92
  4. Step 4: Simplify right side
    735.84x = 489,697.03
  5. Step 5: Solve for x
    x = 489,697.03/735.84
  6. Step 6: Final answer
    x = 665.49

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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.