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Finding the Fourth Proportional to 775.96, 1,165.38 and 519.64

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Solution

The fourth proportional to 775.96, 1,165.38 and 519.64 is: 780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.96 : 1,165.38 = 519.64 : x
  2. Step 2: Convert to fraction form
    775.96/1,165.38 = 519.64/x
  3. Step 3: Cross multiply
    775.96x = 1,165.38 × 519.64
  4. Step 4: Simplify right side
    775.96x = 605,578.06
  5. Step 5: Solve for x
    x = 605,578.06/775.96
  6. Step 6: Final answer
    x = 780.42

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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.