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Finding the Fourth Proportional to 519.66, 781.11 and 376.02

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Solution

The fourth proportional to 519.66, 781.11 and 376.02 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 781.11 = 376.02 : x
  2. Step 2: Convert to fraction form
    519.66/781.11 = 376.02/x
  3. Step 3: Cross multiply
    519.66x = 781.11 × 376.02
  4. Step 4: Simplify right side
    519.66x = 293,712.98
  5. Step 5: Solve for x
    x = 293,712.98/519.66
  6. Step 6: Final answer
    x = 565.20

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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.