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Finding the Fourth Proportional to 519.58, 778.47 and 409.42

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Solution

The fourth proportional to 519.58, 778.47 and 409.42 is: 613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.58 : 778.47 = 409.42 : x
  2. Step 2: Convert to fraction form
    519.58/778.47 = 409.42/x
  3. Step 3: Cross multiply
    519.58x = 778.47 × 409.42
  4. Step 4: Simplify right side
    519.58x = 318,721.19
  5. Step 5: Solve for x
    x = 318,721.19/519.58
  6. Step 6: Final answer
    x = 613.42

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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.