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Finding the Fourth Proportional to 520.72, 779.96 and 480.40

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Solution

The fourth proportional to 520.72, 779.96 and 480.40 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 779.96 = 480.40 : x
  2. Step 2: Convert to fraction form
    520.72/779.96 = 480.40/x
  3. Step 3: Cross multiply
    520.72x = 779.96 × 480.40
  4. Step 4: Simplify right side
    520.72x = 374,692.78
  5. Step 5: Solve for x
    x = 374,692.78/520.72
  6. Step 6: Final answer
    x = 719.57

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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.