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Finding the Fourth Proportional to 520.35, 779.10 and 347.28

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Solution

The fourth proportional to 520.35, 779.10 and 347.28 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.35 : 779.10 = 347.28 : x
  2. Step 2: Convert to fraction form
    520.35/779.10 = 347.28/x
  3. Step 3: Cross multiply
    520.35x = 779.10 × 347.28
  4. Step 4: Simplify right side
    520.35x = 270,565.85
  5. Step 5: Solve for x
    x = 270,565.85/520.35
  6. Step 6: Final answer
    x = 519.97

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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.