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Finding the Fourth Proportional to 707.91, 976.82 and 445.88

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Solution

The fourth proportional to 707.91, 976.82 and 445.88 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.91 : 976.82 = 445.88 : x
  2. Step 2: Convert to fraction form
    707.91/976.82 = 445.88/x
  3. Step 3: Cross multiply
    707.91x = 976.82 × 445.88
  4. Step 4: Simplify right side
    707.91x = 435,540.73
  5. Step 5: Solve for x
    x = 435,540.73/707.91
  6. Step 6: Final answer
    x = 615.25

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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.