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Finding the Fourth Proportional to 445.88, 665.28 and 399.71

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Solution

The fourth proportional to 445.88, 665.28 and 399.71 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.88 : 665.28 = 399.71 : x
  2. Step 2: Convert to fraction form
    445.88/665.28 = 399.71/x
  3. Step 3: Cross multiply
    445.88x = 665.28 × 399.71
  4. Step 4: Simplify right side
    445.88x = 265,920.73
  5. Step 5: Solve for x
    x = 265,920.73/445.88
  6. Step 6: Final answer
    x = 596.39

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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.