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Finding the Fourth Proportional to 601.56, 828.07 and 523.80

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Solution

The fourth proportional to 601.56, 828.07 and 523.80 is: 721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 828.07 = 523.80 : x
  2. Step 2: Convert to fraction form
    601.56/828.07 = 523.80/x
  3. Step 3: Cross multiply
    601.56x = 828.07 × 523.80
  4. Step 4: Simplify right side
    601.56x = 433,743.07
  5. Step 5: Solve for x
    x = 433,743.07/601.56
  6. Step 6: Final answer
    x = 721.03

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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.