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Finding the Fourth Proportional to 518.82, 777.15 and 403.08

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Solution

The fourth proportional to 518.82, 777.15 and 403.08 is: 603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 777.15 = 403.08 : x
  2. Step 2: Convert to fraction form
    518.82/777.15 = 403.08/x
  3. Step 3: Cross multiply
    518.82x = 777.15 × 403.08
  4. Step 4: Simplify right side
    518.82x = 313,253.62
  5. Step 5: Solve for x
    x = 313,253.62/518.82
  6. Step 6: Final answer
    x = 603.78

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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.