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Finding the Fourth Proportional to 1,105.23, 1,524.92 and 685.38

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Solution

The fourth proportional to 1,105.23, 1,524.92 and 685.38 is: 945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.23 : 1,524.92 = 685.38 : x
  2. Step 2: Convert to fraction form
    1,105.23/1,524.92 = 685.38/x
  3. Step 3: Cross multiply
    1,105.23x = 1,524.92 × 685.38
  4. Step 4: Simplify right side
    1,105.23x = 1,045,146.24
  5. Step 5: Solve for x
    x = 1,045,146.24/1,105.23
  6. Step 6: Final answer
    x = 945.64

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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.