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Finding the Fourth Proportional to 1,101.80, 1,651.74 and 408.33

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Solution

The fourth proportional to 1,101.80, 1,651.74 and 408.33 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.80 : 1,651.74 = 408.33 : x
  2. Step 2: Convert to fraction form
    1,101.80/1,651.74 = 408.33/x
  3. Step 3: Cross multiply
    1,101.80x = 1,651.74 × 408.33
  4. Step 4: Simplify right side
    1,101.80x = 674,454.99
  5. Step 5: Solve for x
    x = 674,454.99/1,101.80
  6. Step 6: Final answer
    x = 612.14

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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.