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Finding the Fourth Proportional to 519.76, 779.13 and 398.53

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Solution

The fourth proportional to 519.76, 779.13 and 398.53 is: 597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.76 : 779.13 = 398.53 : x
  2. Step 2: Convert to fraction form
    519.76/779.13 = 398.53/x
  3. Step 3: Cross multiply
    519.76x = 779.13 × 398.53
  4. Step 4: Simplify right side
    519.76x = 310,504.73
  5. Step 5: Solve for x
    x = 310,504.73/519.76
  6. Step 6: Final answer
    x = 597.40

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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.