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Finding the Fourth Proportional to 520.17, 779.96 and 246.26

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Solution

The fourth proportional to 520.17, 779.96 and 246.26 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 779.96 = 246.26 : x
  2. Step 2: Convert to fraction form
    520.17/779.96 = 246.26/x
  3. Step 3: Cross multiply
    520.17x = 779.96 × 246.26
  4. Step 4: Simplify right side
    520.17x = 192,074.59
  5. Step 5: Solve for x
    x = 192,074.59/520.17
  6. Step 6: Final answer
    x = 369.25

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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.