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Finding the Fourth Proportional to 519.94, 781.66 and 366.96

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Solution

The fourth proportional to 519.94, 781.66 and 366.96 is: 551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 781.66 = 366.96 : x
  2. Step 2: Convert to fraction form
    519.94/781.66 = 366.96/x
  3. Step 3: Cross multiply
    519.94x = 781.66 × 366.96
  4. Step 4: Simplify right side
    519.94x = 286,839.97
  5. Step 5: Solve for x
    x = 286,839.97/519.94
  6. Step 6: Final answer
    x = 551.68

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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.