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Finding the Fourth Proportional to 518.82, 706.38 and 517.20

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Solution

The fourth proportional to 518.82, 706.38 and 517.20 is: 704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 706.38 = 517.20 : x
  2. Step 2: Convert to fraction form
    518.82/706.38 = 517.20/x
  3. Step 3: Cross multiply
    518.82x = 706.38 × 517.20
  4. Step 4: Simplify right side
    518.82x = 365,339.74
  5. Step 5: Solve for x
    x = 365,339.74/518.82
  6. Step 6: Final answer
    x = 704.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.