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Finding the Fourth Proportional to 520.50, 779.19 and 314.44

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Solution

The fourth proportional to 520.50, 779.19 and 314.44 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.50 : 779.19 = 314.44 : x
  2. Step 2: Convert to fraction form
    520.50/779.19 = 314.44/x
  3. Step 3: Cross multiply
    520.50x = 779.19 × 314.44
  4. Step 4: Simplify right side
    520.50x = 245,013.51
  5. Step 5: Solve for x
    x = 245,013.51/520.50
  6. Step 6: Final answer
    x = 470.73

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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.