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Finding the Fourth Proportional to 456.03, 679.94 and 447.83

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Solution

The fourth proportional to 456.03, 679.94 and 447.83 is: 667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.03 : 679.94 = 447.83 : x
  2. Step 2: Convert to fraction form
    456.03/679.94 = 447.83/x
  3. Step 3: Cross multiply
    456.03x = 679.94 × 447.83
  4. Step 4: Simplify right side
    456.03x = 304,498.64
  5. Step 5: Solve for x
    x = 304,498.64/456.03
  6. Step 6: Final answer
    x = 667.72

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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.