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Finding the Fourth Proportional to 701.38, 967.89 and 406.65

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Solution

The fourth proportional to 701.38, 967.89 and 406.65 is: 561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.38 : 967.89 = 406.65 : x
  2. Step 2: Convert to fraction form
    701.38/967.89 = 406.65/x
  3. Step 3: Cross multiply
    701.38x = 967.89 × 406.65
  4. Step 4: Simplify right side
    701.38x = 393,592.47
  5. Step 5: Solve for x
    x = 393,592.47/701.38
  6. Step 6: Final answer
    x = 561.17

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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.