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Finding the Fourth Proportional to 518.97, 779.47 and 403.65

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Solution

The fourth proportional to 518.97, 779.47 and 403.65 is: 606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 779.47 = 403.65 : x
  2. Step 2: Convert to fraction form
    518.97/779.47 = 403.65/x
  3. Step 3: Cross multiply
    518.97x = 779.47 × 403.65
  4. Step 4: Simplify right side
    518.97x = 314,633.07
  5. Step 5: Solve for x
    x = 314,633.07/518.97
  6. Step 6: Final answer
    x = 606.26

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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.