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Finding the Fourth Proportional to 664.44, 916.88 and 517.25

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Solution

The fourth proportional to 664.44, 916.88 and 517.25 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 916.88 = 517.25 : x
  2. Step 2: Convert to fraction form
    664.44/916.88 = 517.25/x
  3. Step 3: Cross multiply
    664.44x = 916.88 × 517.25
  4. Step 4: Simplify right side
    664.44x = 474,249.01
  5. Step 5: Solve for x
    x = 474,249.01/664.44
  6. Step 6: Final answer
    x = 713.76

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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.