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Finding the Fourth Proportional to 701.53, 967.97 and 406.78

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Solution

The fourth proportional to 701.53, 967.97 and 406.78 is: 561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.53 : 967.97 = 406.78 : x
  2. Step 2: Convert to fraction form
    701.53/967.97 = 406.78/x
  3. Step 3: Cross multiply
    701.53x = 967.97 × 406.78
  4. Step 4: Simplify right side
    701.53x = 393,748.80
  5. Step 5: Solve for x
    x = 393,748.80/701.53
  6. Step 6: Final answer
    x = 561.27

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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.