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Finding the Fourth Proportional to 518.88, 716.56 and 322.48

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Solution

The fourth proportional to 518.88, 716.56 and 322.48 is: 445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 716.56 = 322.48 : x
  2. Step 2: Convert to fraction form
    518.88/716.56 = 322.48/x
  3. Step 3: Cross multiply
    518.88x = 716.56 × 322.48
  4. Step 4: Simplify right side
    518.88x = 231,076.27
  5. Step 5: Solve for x
    x = 231,076.27/518.88
  6. Step 6: Final answer
    x = 445.34

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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.