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Finding the Fourth Proportional to 743.58, 1,109.30 and 733.86

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Solution

The fourth proportional to 743.58, 1,109.30 and 733.86 is: 1,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.58 : 1,109.30 = 733.86 : x
  2. Step 2: Convert to fraction form
    743.58/1,109.30 = 733.86/x
  3. Step 3: Cross multiply
    743.58x = 1,109.30 × 733.86
  4. Step 4: Simplify right side
    743.58x = 814,067.23
  5. Step 5: Solve for x
    x = 814,067.23/743.58
  6. Step 6: Final answer
    x = 1,094.79

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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.