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Finding the Fourth Proportional to 462.11, 633.22 and 445.10

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Solution

The fourth proportional to 462.11, 633.22 and 445.10 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.11 : 633.22 = 445.10 : x
  2. Step 2: Convert to fraction form
    462.11/633.22 = 445.10/x
  3. Step 3: Cross multiply
    462.11x = 633.22 × 445.10
  4. Step 4: Simplify right side
    462.11x = 281,841.94
  5. Step 5: Solve for x
    x = 281,841.94/462.11
  6. Step 6: Final answer
    x = 609.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.