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Finding the Fourth Proportional to 520.44, 779.33 and 346.85

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Solution

The fourth proportional to 520.44, 779.33 and 346.85 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 779.33 = 346.85 : x
  2. Step 2: Convert to fraction form
    520.44/779.33 = 346.85/x
  3. Step 3: Cross multiply
    520.44x = 779.33 × 346.85
  4. Step 4: Simplify right side
    520.44x = 270,307.58
  5. Step 5: Solve for x
    x = 270,307.58/520.44
  6. Step 6: Final answer
    x = 519.38

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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.