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Finding the Fourth Proportional to 445.07, 664.26 and 415.91

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Solution

The fourth proportional to 445.07, 664.26 and 415.91 is: 620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.07 : 664.26 = 415.91 : x
  2. Step 2: Convert to fraction form
    445.07/664.26 = 415.91/x
  3. Step 3: Cross multiply
    445.07x = 664.26 × 415.91
  4. Step 4: Simplify right side
    445.07x = 276,272.38
  5. Step 5: Solve for x
    x = 276,272.38/445.07
  6. Step 6: Final answer
    x = 620.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.