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Finding the Fourth Proportional to 519.80, 778.97 and 429.58

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Solution

The fourth proportional to 519.80, 778.97 and 429.58 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.80 : 778.97 = 429.58 : x
  2. Step 2: Convert to fraction form
    519.80/778.97 = 429.58/x
  3. Step 3: Cross multiply
    519.80x = 778.97 × 429.58
  4. Step 4: Simplify right side
    519.80x = 334,629.93
  5. Step 5: Solve for x
    x = 334,629.93/519.80
  6. Step 6: Final answer
    x = 643.77

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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.