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Finding the Fourth Proportional to 523.44, 716.04 and 521.28

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Solution

The fourth proportional to 523.44, 716.04 and 521.28 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 716.04 = 521.28 : x
  2. Step 2: Convert to fraction form
    523.44/716.04 = 521.28/x
  3. Step 3: Cross multiply
    523.44x = 716.04 × 521.28
  4. Step 4: Simplify right side
    523.44x = 373,257.33
  5. Step 5: Solve for x
    x = 373,257.33/523.44
  6. Step 6: Final answer
    x = 713.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.