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Finding the Fourth Proportional to 1,109.09, 1,662.45 and 415.31

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Solution

The fourth proportional to 1,109.09, 1,662.45 and 415.31 is: 622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.09 : 1,662.45 = 415.31 : x
  2. Step 2: Convert to fraction form
    1,109.09/1,662.45 = 415.31/x
  3. Step 3: Cross multiply
    1,109.09x = 1,662.45 × 415.31
  4. Step 4: Simplify right side
    1,109.09x = 690,423.80
  5. Step 5: Solve for x
    x = 690,423.80/1,109.09
  6. Step 6: Final answer
    x = 622.52

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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.