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Finding the Fourth Proportional to 456.40, 632.78 and 447.49

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Solution

The fourth proportional to 456.40, 632.78 and 447.49 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 632.78 = 447.49 : x
  2. Step 2: Convert to fraction form
    456.40/632.78 = 447.49/x
  3. Step 3: Cross multiply
    456.40x = 632.78 × 447.49
  4. Step 4: Simplify right side
    456.40x = 283,162.72
  5. Step 5: Solve for x
    x = 283,162.72/456.40
  6. Step 6: Final answer
    x = 620.43

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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.