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Finding the Fourth Proportional to 518.65, 775.87 and 355.97

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Solution

The fourth proportional to 518.65, 775.87 and 355.97 is: 532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.65 : 775.87 = 355.97 : x
  2. Step 2: Convert to fraction form
    518.65/775.87 = 355.97/x
  3. Step 3: Cross multiply
    518.65x = 775.87 × 355.97
  4. Step 4: Simplify right side
    518.65x = 276,186.44
  5. Step 5: Solve for x
    x = 276,186.44/518.65
  6. Step 6: Final answer
    x = 532.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.