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Finding the Fourth Proportional to 520.12, 779.34 and 434.02

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Solution

The fourth proportional to 520.12, 779.34 and 434.02 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 779.34 = 434.02 : x
  2. Step 2: Convert to fraction form
    520.12/779.34 = 434.02/x
  3. Step 3: Cross multiply
    520.12x = 779.34 × 434.02
  4. Step 4: Simplify right side
    520.12x = 338,249.15
  5. Step 5: Solve for x
    x = 338,249.15/520.12
  6. Step 6: Final answer
    x = 650.33

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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.