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Finding the Fourth Proportional to 461.62, 687.97 and 446.02

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Solution

The fourth proportional to 461.62, 687.97 and 446.02 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 687.97 = 446.02 : x
  2. Step 2: Convert to fraction form
    461.62/687.97 = 446.02/x
  3. Step 3: Cross multiply
    461.62x = 687.97 × 446.02
  4. Step 4: Simplify right side
    461.62x = 306,848.38
  5. Step 5: Solve for x
    x = 306,848.38/461.62
  6. Step 6: Final answer
    x = 664.72

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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.