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Finding the Fourth Proportional to 447.23, 615.61 and 394.58

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Solution

The fourth proportional to 447.23, 615.61 and 394.58 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 615.61 = 394.58 : x
  2. Step 2: Convert to fraction form
    447.23/615.61 = 394.58/x
  3. Step 3: Cross multiply
    447.23x = 615.61 × 394.58
  4. Step 4: Simplify right side
    447.23x = 242,907.39
  5. Step 5: Solve for x
    x = 242,907.39/447.23
  6. Step 6: Final answer
    x = 543.14

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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.