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Finding the Fourth Proportional to 743.25, 1,115.30 and 304.43

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Solution

The fourth proportional to 743.25, 1,115.30 and 304.43 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.25 : 1,115.30 = 304.43 : x
  2. Step 2: Convert to fraction form
    743.25/1,115.30 = 304.43/x
  3. Step 3: Cross multiply
    743.25x = 1,115.30 × 304.43
  4. Step 4: Simplify right side
    743.25x = 339,530.78
  5. Step 5: Solve for x
    x = 339,530.78/743.25
  6. Step 6: Final answer
    x = 456.82

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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.