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Finding the Fourth Proportional to 445.24, 664.13 and 425.80

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Solution

The fourth proportional to 445.24, 664.13 and 425.80 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.24 : 664.13 = 425.80 : x
  2. Step 2: Convert to fraction form
    445.24/664.13 = 425.80/x
  3. Step 3: Cross multiply
    445.24x = 664.13 × 425.80
  4. Step 4: Simplify right side
    445.24x = 282,786.55
  5. Step 5: Solve for x
    x = 282,786.55/445.24
  6. Step 6: Final answer
    x = 635.13

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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.