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Finding the Fourth Proportional to 1,243.24, 1,715.94 and 829

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Solution

The fourth proportional to 1,243.24, 1,715.94 and 829 is: 1,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.24 : 1,715.94 = 829 : x
  2. Step 2: Convert to fraction form
    1,243.24/1,715.94 = 829/x
  3. Step 3: Cross multiply
    1,243.24x = 1,715.94 × 829
  4. Step 4: Simplify right side
    1,243.24x = 1,422,514.26
  5. Step 5: Solve for x
    x = 1,422,514.26/1,243.24
  6. Step 6: Final answer
    x = 1,144.20

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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.