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Finding the Fourth Proportional to 735.78, 1,097.18 and 729.20

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Solution

The fourth proportional to 735.78, 1,097.18 and 729.20 is: 1,087.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.78 : 1,097.18 = 729.20 : x
  2. Step 2: Convert to fraction form
    735.78/1,097.18 = 729.20/x
  3. Step 3: Cross multiply
    735.78x = 1,097.18 × 729.20
  4. Step 4: Simplify right side
    735.78x = 800,054.52
  5. Step 5: Solve for x
    x = 800,054.52/735.78
  6. Step 6: Final answer
    x = 1,087.36

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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.