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Finding the Fourth Proportional to 518.36, 714.78 and 352.25

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Solution

The fourth proportional to 518.36, 714.78 and 352.25 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 714.78 = 352.25 : x
  2. Step 2: Convert to fraction form
    518.36/714.78 = 352.25/x
  3. Step 3: Cross multiply
    518.36x = 714.78 × 352.25
  4. Step 4: Simplify right side
    518.36x = 251,777.68
  5. Step 5: Solve for x
    x = 251,777.68/518.36
  6. Step 6: Final answer
    x = 485.72

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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.