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Finding the Fourth Proportional to 520.48, 780 and 443.04

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Solution

The fourth proportional to 520.48, 780 and 443.04 is: 663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 780 = 443.04 : x
  2. Step 2: Convert to fraction form
    520.48/780 = 443.04/x
  3. Step 3: Cross multiply
    520.48x = 780 × 443.04
  4. Step 4: Simplify right side
    520.48x = 345,571.20
  5. Step 5: Solve for x
    x = 345,571.20/520.48
  6. Step 6: Final answer
    x = 663.95

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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.