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Finding the Fourth Proportional to 443.48, 612.30 and 396.71

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Solution

The fourth proportional to 443.48, 612.30 and 396.71 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 612.30 = 396.71 : x
  2. Step 2: Convert to fraction form
    443.48/612.30 = 396.71/x
  3. Step 3: Cross multiply
    443.48x = 612.30 × 396.71
  4. Step 4: Simplify right side
    443.48x = 242,902.47
  5. Step 5: Solve for x
    x = 242,902.47/443.48
  6. Step 6: Final answer
    x = 547.73

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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.