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Finding the Fourth Proportional to 601.30, 827.82 and 523.68

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Solution

The fourth proportional to 601.30, 827.82 and 523.68 is: 720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 827.82 = 523.68 : x
  2. Step 2: Convert to fraction form
    601.30/827.82 = 523.68/x
  3. Step 3: Cross multiply
    601.30x = 827.82 × 523.68
  4. Step 4: Simplify right side
    601.30x = 433,512.78
  5. Step 5: Solve for x
    x = 433,512.78/601.30
  6. Step 6: Final answer
    x = 720.96

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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.