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Finding the Fourth Proportional to 701.00, 967.26 and 406.21

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Solution

The fourth proportional to 701.00, 967.26 and 406.21 is: 560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.00 : 967.26 = 406.21 : x
  2. Step 2: Convert to fraction form
    701.00/967.26 = 406.21/x
  3. Step 3: Cross multiply
    701.00x = 967.26 × 406.21
  4. Step 4: Simplify right side
    701.00x = 392,912.09
  5. Step 5: Solve for x
    x = 392,912.09/701.00
  6. Step 6: Final answer
    x = 560.50

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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.