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Finding the Fourth Proportional to 735.21, 1,097.22 and 705.44

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Solution

The fourth proportional to 735.21, 1,097.22 and 705.44 is: 1,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.21 : 1,097.22 = 705.44 : x
  2. Step 2: Convert to fraction form
    735.21/1,097.22 = 705.44/x
  3. Step 3: Cross multiply
    735.21x = 1,097.22 × 705.44
  4. Step 4: Simplify right side
    735.21x = 774,017.39
  5. Step 5: Solve for x
    x = 774,017.39/735.21
  6. Step 6: Final answer
    x = 1,052.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.