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Finding the Fourth Proportional to 1,107.82, 1,661.72 and 338.32

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Solution

The fourth proportional to 1,107.82, 1,661.72 and 338.32 is: 507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.82 : 1,661.72 = 338.32 : x
  2. Step 2: Convert to fraction form
    1,107.82/1,661.72 = 338.32/x
  3. Step 3: Cross multiply
    1,107.82x = 1,661.72 × 338.32
  4. Step 4: Simplify right side
    1,107.82x = 562,193.11
  5. Step 5: Solve for x
    x = 562,193.11/1,107.82
  6. Step 6: Final answer
    x = 507.48

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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.