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Finding the Fourth Proportional to 694.23, 1,040.73 and 451.23

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Solution

The fourth proportional to 694.23, 1,040.73 and 451.23 is: 676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.23 : 1,040.73 = 451.23 : x
  2. Step 2: Convert to fraction form
    694.23/1,040.73 = 451.23/x
  3. Step 3: Cross multiply
    694.23x = 1,040.73 × 451.23
  4. Step 4: Simplify right side
    694.23x = 469,608.60
  5. Step 5: Solve for x
    x = 469,608.60/694.23
  6. Step 6: Final answer
    x = 676.45

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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.