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Finding the Fourth Proportional to 518.20, 775.93 and 448.49

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Solution

The fourth proportional to 518.20, 775.93 and 448.49 is: 671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 775.93 = 448.49 : x
  2. Step 2: Convert to fraction form
    518.20/775.93 = 448.49/x
  3. Step 3: Cross multiply
    518.20x = 775.93 × 448.49
  4. Step 4: Simplify right side
    518.20x = 347,994.14
  5. Step 5: Solve for x
    x = 347,994.14/518.20
  6. Step 6: Final answer
    x = 671.55

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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.