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Finding the Fourth Proportional to 456.20, 633.81 and 450.74

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Solution

The fourth proportional to 456.20, 633.81 and 450.74 is: 626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 633.81 = 450.74 : x
  2. Step 2: Convert to fraction form
    456.20/633.81 = 450.74/x
  3. Step 3: Cross multiply
    456.20x = 633.81 × 450.74
  4. Step 4: Simplify right side
    456.20x = 285,678.66
  5. Step 5: Solve for x
    x = 285,678.66/456.20
  6. Step 6: Final answer
    x = 626.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.