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Finding the Fourth Proportional to 520.28, 780.80 and 404.44

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Solution

The fourth proportional to 520.28, 780.80 and 404.44 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.28 : 780.80 = 404.44 : x
  2. Step 2: Convert to fraction form
    520.28/780.80 = 404.44/x
  3. Step 3: Cross multiply
    520.28x = 780.80 × 404.44
  4. Step 4: Simplify right side
    520.28x = 315,786.75
  5. Step 5: Solve for x
    x = 315,786.75/520.28
  6. Step 6: Final answer
    x = 606.96

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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.