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Finding the Fourth Proportional to 462.11, 688.20 and 445.94

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Solution

The fourth proportional to 462.11, 688.20 and 445.94 is: 664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.11 : 688.20 = 445.94 : x
  2. Step 2: Convert to fraction form
    462.11/688.20 = 445.94/x
  3. Step 3: Cross multiply
    462.11x = 688.20 × 445.94
  4. Step 4: Simplify right side
    462.11x = 306,893.38
  5. Step 5: Solve for x
    x = 306,893.38/462.11
  6. Step 6: Final answer
    x = 664.12

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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.