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Finding the Fourth Proportional to 519.91, 778.65 and 288.43

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Solution

The fourth proportional to 519.91, 778.65 and 288.43 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.91 : 778.65 = 288.43 : x
  2. Step 2: Convert to fraction form
    519.91/778.65 = 288.43/x
  3. Step 3: Cross multiply
    519.91x = 778.65 × 288.43
  4. Step 4: Simplify right side
    519.91x = 224,586.02
  5. Step 5: Solve for x
    x = 224,586.02/519.91
  6. Step 6: Final answer
    x = 431.97

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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.