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Finding the Fourth Proportional to 519.53, 779.30 and 315.41

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Solution

The fourth proportional to 519.53, 779.30 and 315.41 is: 473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 779.30 = 315.41 : x
  2. Step 2: Convert to fraction form
    519.53/779.30 = 315.41/x
  3. Step 3: Cross multiply
    519.53x = 779.30 × 315.41
  4. Step 4: Simplify right side
    519.53x = 245,793.54
  5. Step 5: Solve for x
    x = 245,793.54/519.53
  6. Step 6: Final answer
    x = 473.11

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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.