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Finding the Fourth Proportional to 523.09, 778.28 and 521.20

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Solution

The fourth proportional to 523.09, 778.28 and 521.20 is: 775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 778.28 = 521.20 : x
  2. Step 2: Convert to fraction form
    523.09/778.28 = 521.20/x
  3. Step 3: Cross multiply
    523.09x = 778.28 × 521.20
  4. Step 4: Simplify right side
    523.09x = 405,633.04
  5. Step 5: Solve for x
    x = 405,633.04/523.09
  6. Step 6: Final answer
    x = 775.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.