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Finding the Fourth Proportional to 1,092.09, 1,638.33 and 362.19

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Solution

The fourth proportional to 1,092.09, 1,638.33 and 362.19 is: 543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.09 : 1,638.33 = 362.19 : x
  2. Step 2: Convert to fraction form
    1,092.09/1,638.33 = 362.19/x
  3. Step 3: Cross multiply
    1,092.09x = 1,638.33 × 362.19
  4. Step 4: Simplify right side
    1,092.09x = 593,386.74
  5. Step 5: Solve for x
    x = 593,386.74/1,092.09
  6. Step 6: Final answer
    x = 543.35

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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.