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Finding the Fourth Proportional to 743.67, 1,107.64 and 704.64

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Solution

The fourth proportional to 743.67, 1,107.64 and 704.64 is: 1,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.67 : 1,107.64 = 704.64 : x
  2. Step 2: Convert to fraction form
    743.67/1,107.64 = 704.64/x
  3. Step 3: Cross multiply
    743.67x = 1,107.64 × 704.64
  4. Step 4: Simplify right side
    743.67x = 780,483.67
  5. Step 5: Solve for x
    x = 780,483.67/743.67
  6. Step 6: Final answer
    x = 1,049.51

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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.