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Finding the Fourth Proportional to 518.36, 777.88 and 484.21

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Solution

The fourth proportional to 518.36, 777.88 and 484.21 is: 726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.36 : 777.88 = 484.21 : x
  2. Step 2: Convert to fraction form
    518.36/777.88 = 484.21/x
  3. Step 3: Cross multiply
    518.36x = 777.88 × 484.21
  4. Step 4: Simplify right side
    518.36x = 376,653.39
  5. Step 5: Solve for x
    x = 376,653.39/518.36
  6. Step 6: Final answer
    x = 726.63

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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.