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Finding the Fourth Proportional to 445.09, 670.97 and 415.36

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Solution

The fourth proportional to 445.09, 670.97 and 415.36 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.09 : 670.97 = 415.36 : x
  2. Step 2: Convert to fraction form
    445.09/670.97 = 415.36/x
  3. Step 3: Cross multiply
    445.09x = 670.97 × 415.36
  4. Step 4: Simplify right side
    445.09x = 278,694.10
  5. Step 5: Solve for x
    x = 278,694.10/445.09
  6. Step 6: Final answer
    x = 626.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.