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Finding the Fourth Proportional to 462.68, 638.44 and 450.24

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Solution

The fourth proportional to 462.68, 638.44 and 450.24 is: 621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 638.44 = 450.24 : x
  2. Step 2: Convert to fraction form
    462.68/638.44 = 450.24/x
  3. Step 3: Cross multiply
    462.68x = 638.44 × 450.24
  4. Step 4: Simplify right side
    462.68x = 287,451.23
  5. Step 5: Solve for x
    x = 287,451.23/462.68
  6. Step 6: Final answer
    x = 621.27

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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.