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Finding the Fourth Proportional to 697.42, 962.94 and 523.72

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Solution

The fourth proportional to 697.42, 962.94 and 523.72 is: 723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.42 : 962.94 = 523.72 : x
  2. Step 2: Convert to fraction form
    697.42/962.94 = 523.72/x
  3. Step 3: Cross multiply
    697.42x = 962.94 × 523.72
  4. Step 4: Simplify right side
    697.42x = 504,310.94
  5. Step 5: Solve for x
    x = 504,310.94/697.42
  6. Step 6: Final answer
    x = 723.11

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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.