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Finding the Fourth Proportional to 755.23, 1,042.23 and 423.73

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Solution

The fourth proportional to 755.23, 1,042.23 and 423.73 is: 584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.23 : 1,042.23 = 423.73 : x
  2. Step 2: Convert to fraction form
    755.23/1,042.23 = 423.73/x
  3. Step 3: Cross multiply
    755.23x = 1,042.23 × 423.73
  4. Step 4: Simplify right side
    755.23x = 441,624.12
  5. Step 5: Solve for x
    x = 441,624.12/755.23
  6. Step 6: Final answer
    x = 584.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.