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Finding the Fourth Proportional to 519.96, 781.83 and 397.38

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Solution

The fourth proportional to 519.96, 781.83 and 397.38 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.96 : 781.83 = 397.38 : x
  2. Step 2: Convert to fraction form
    519.96/781.83 = 397.38/x
  3. Step 3: Cross multiply
    519.96x = 781.83 × 397.38
  4. Step 4: Simplify right side
    519.96x = 310,683.61
  5. Step 5: Solve for x
    x = 310,683.61/519.96
  6. Step 6: Final answer
    x = 597.51

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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.