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Finding the Fourth Proportional to 518.58, 774.77 and 484.43

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Solution

The fourth proportional to 518.58, 774.77 and 484.43 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 774.77 = 484.43 : x
  2. Step 2: Convert to fraction form
    518.58/774.77 = 484.43/x
  3. Step 3: Cross multiply
    518.58x = 774.77 × 484.43
  4. Step 4: Simplify right side
    518.58x = 375,315.54
  5. Step 5: Solve for x
    x = 375,315.54/518.58
  6. Step 6: Final answer
    x = 723.74

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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.