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Finding the Fourth Proportional to 520.43, 779.01 and 276.21

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Solution

The fourth proportional to 520.43, 779.01 and 276.21 is: 413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.43 : 779.01 = 276.21 : x
  2. Step 2: Convert to fraction form
    520.43/779.01 = 276.21/x
  3. Step 3: Cross multiply
    520.43x = 779.01 × 276.21
  4. Step 4: Simplify right side
    520.43x = 215,172.30
  5. Step 5: Solve for x
    x = 215,172.30/520.43
  6. Step 6: Final answer
    x = 413.45

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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.