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Finding the Fourth Proportional to 1,092.65, 1,638.23 and 681.23

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Solution

The fourth proportional to 1,092.65, 1,638.23 and 681.23 is: 1,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.65 : 1,638.23 = 681.23 : x
  2. Step 2: Convert to fraction form
    1,092.65/1,638.23 = 681.23/x
  3. Step 3: Cross multiply
    1,092.65x = 1,638.23 × 681.23
  4. Step 4: Simplify right side
    1,092.65x = 1,116,012.11
  5. Step 5: Solve for x
    x = 1,116,012.11/1,092.65
  6. Step 6: Final answer
    x = 1,021.39

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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.