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Finding the Fourth Proportional to 1,107.75, 1,661.84 and 414.51

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Solution

The fourth proportional to 1,107.75, 1,661.84 and 414.51 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.75 : 1,661.84 = 414.51 : x
  2. Step 2: Convert to fraction form
    1,107.75/1,661.84 = 414.51/x
  3. Step 3: Cross multiply
    1,107.75x = 1,661.84 × 414.51
  4. Step 4: Simplify right side
    1,107.75x = 688,847.23
  5. Step 5: Solve for x
    x = 688,847.23/1,107.75
  6. Step 6: Final answer
    x = 621.84

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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.