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Finding the Fourth Proportional to 1,122, 1,682.88 and 300.35

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Solution

The fourth proportional to 1,122, 1,682.88 and 300.35 is: 450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122 : 1,682.88 = 300.35 : x
  2. Step 2: Convert to fraction form
    1,122/1,682.88 = 300.35/x
  3. Step 3: Cross multiply
    1,122x = 1,682.88 × 300.35
  4. Step 4: Simplify right side
    1,122x = 505,453.01
  5. Step 5: Solve for x
    x = 505,453.01/1,122
  6. Step 6: Final answer
    x = 450.49

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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.