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Finding the Fourth Proportional to 518.66, 774.13 and 466.82

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Solution

The fourth proportional to 518.66, 774.13 and 466.82 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.66 : 774.13 = 466.82 : x
  2. Step 2: Convert to fraction form
    518.66/774.13 = 466.82/x
  3. Step 3: Cross multiply
    518.66x = 774.13 × 466.82
  4. Step 4: Simplify right side
    518.66x = 361,377.03
  5. Step 5: Solve for x
    x = 361,377.03/518.66
  6. Step 6: Final answer
    x = 696.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.