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Finding the Fourth Proportional to 701.10, 967.59 and 421.43

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Solution

The fourth proportional to 701.10, 967.59 and 421.43 is: 581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.10 : 967.59 = 421.43 : x
  2. Step 2: Convert to fraction form
    701.10/967.59 = 421.43/x
  3. Step 3: Cross multiply
    701.10x = 967.59 × 421.43
  4. Step 4: Simplify right side
    701.10x = 407,766.62
  5. Step 5: Solve for x
    x = 407,766.62/701.10
  6. Step 6: Final answer
    x = 581.61

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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.