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Finding the Fourth Proportional to 842.33, 1,162.13 and 523.05

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Solution

The fourth proportional to 842.33, 1,162.13 and 523.05 is: 721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.33 : 1,162.13 = 523.05 : x
  2. Step 2: Convert to fraction form
    842.33/1,162.13 = 523.05/x
  3. Step 3: Cross multiply
    842.33x = 1,162.13 × 523.05
  4. Step 4: Simplify right side
    842.33x = 607,849.48
  5. Step 5: Solve for x
    x = 607,849.48/842.33
  6. Step 6: Final answer
    x = 721.63

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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.