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Finding the Fourth Proportional to 445.16, 613.22 and 379.88

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Solution

The fourth proportional to 445.16, 613.22 and 379.88 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.16 : 613.22 = 379.88 : x
  2. Step 2: Convert to fraction form
    445.16/613.22 = 379.88/x
  3. Step 3: Cross multiply
    445.16x = 613.22 × 379.88
  4. Step 4: Simplify right side
    445.16x = 232,950.01
  5. Step 5: Solve for x
    x = 232,950.01/445.16
  6. Step 6: Final answer
    x = 523.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.