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Finding the Fourth Proportional to 1,091.27, 1,636.30 and 543.31

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Solution

The fourth proportional to 1,091.27, 1,636.30 and 543.31 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.27 : 1,636.30 = 543.31 : x
  2. Step 2: Convert to fraction form
    1,091.27/1,636.30 = 543.31/x
  3. Step 3: Cross multiply
    1,091.27x = 1,636.30 × 543.31
  4. Step 4: Simplify right side
    1,091.27x = 889,014.74
  5. Step 5: Solve for x
    x = 889,014.74/1,091.27
  6. Step 6: Final answer
    x = 814.66

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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.