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Finding the Fourth Proportional to 447.31, 609.27 and 446.10

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Solution

The fourth proportional to 447.31, 609.27 and 446.10 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 609.27 = 446.10 : x
  2. Step 2: Convert to fraction form
    447.31/609.27 = 446.10/x
  3. Step 3: Cross multiply
    447.31x = 609.27 × 446.10
  4. Step 4: Simplify right side
    447.31x = 271,795.35
  5. Step 5: Solve for x
    x = 271,795.35/447.31
  6. Step 6: Final answer
    x = 607.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.