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Finding the Fourth Proportional to 701, 966.64 and 523.16

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Solution

The fourth proportional to 701, 966.64 and 523.16 is: 721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701 : 966.64 = 523.16 : x
  2. Step 2: Convert to fraction form
    701/966.64 = 523.16/x
  3. Step 3: Cross multiply
    701x = 966.64 × 523.16
  4. Step 4: Simplify right side
    701x = 505,707.38
  5. Step 5: Solve for x
    x = 505,707.38/701
  6. Step 6: Final answer
    x = 721.41

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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.