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Finding the Fourth Proportional to 701.26, 967.88 and 421.65

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Solution

The fourth proportional to 701.26, 967.88 and 421.65 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.26 : 967.88 = 421.65 : x
  2. Step 2: Convert to fraction form
    701.26/967.88 = 421.65/x
  3. Step 3: Cross multiply
    701.26x = 967.88 × 421.65
  4. Step 4: Simplify right side
    701.26x = 408,107.66
  5. Step 5: Solve for x
    x = 408,107.66/701.26
  6. Step 6: Final answer
    x = 581.97

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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.