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Finding the Fourth Proportional to 701.21, 967.86 and 406.42

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Solution

The fourth proportional to 701.21, 967.86 and 406.42 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.21 : 967.86 = 406.42 : x
  2. Step 2: Convert to fraction form
    701.21/967.86 = 406.42/x
  3. Step 3: Cross multiply
    701.21x = 967.86 × 406.42
  4. Step 4: Simplify right side
    701.21x = 393,355.81
  5. Step 5: Solve for x
    x = 393,355.81/701.21
  6. Step 6: Final answer
    x = 560.97

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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.