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Finding the Fourth Proportional to 1,100.35, 1,649.43 and 550.86

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Solution

The fourth proportional to 1,100.35, 1,649.43 and 550.86 is: 825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.35 : 1,649.43 = 550.86 : x
  2. Step 2: Convert to fraction form
    1,100.35/1,649.43 = 550.86/x
  3. Step 3: Cross multiply
    1,100.35x = 1,649.43 × 550.86
  4. Step 4: Simplify right side
    1,100.35x = 908,605.01
  5. Step 5: Solve for x
    x = 908,605.01/1,100.35
  6. Step 6: Final answer
    x = 825.74

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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.