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Finding the Fourth Proportional to 518.11, 714.31 and 511.22

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Solution

The fourth proportional to 518.11, 714.31 and 511.22 is: 704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.11 : 714.31 = 511.22 : x
  2. Step 2: Convert to fraction form
    518.11/714.31 = 511.22/x
  3. Step 3: Cross multiply
    518.11x = 714.31 × 511.22
  4. Step 4: Simplify right side
    518.11x = 365,170.07
  5. Step 5: Solve for x
    x = 365,170.07/518.11
  6. Step 6: Final answer
    x = 704.82

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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.