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Finding the Fourth Proportional to 735.06, 1,101.16 and 409.44

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Solution

The fourth proportional to 735.06, 1,101.16 and 409.44 is: 613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.06 : 1,101.16 = 409.44 : x
  2. Step 2: Convert to fraction form
    735.06/1,101.16 = 409.44/x
  3. Step 3: Cross multiply
    735.06x = 1,101.16 × 409.44
  4. Step 4: Simplify right side
    735.06x = 450,858.95
  5. Step 5: Solve for x
    x = 450,858.95/735.06
  6. Step 6: Final answer
    x = 613.36

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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.