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Finding the Fourth Proportional to 774.72, 1,163.37 and 482.90

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Solution

The fourth proportional to 774.72, 1,163.37 and 482.90 is: 725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.72 : 1,163.37 = 482.90 : x
  2. Step 2: Convert to fraction form
    774.72/1,163.37 = 482.90/x
  3. Step 3: Cross multiply
    774.72x = 1,163.37 × 482.90
  4. Step 4: Simplify right side
    774.72x = 561,785.56
  5. Step 5: Solve for x
    x = 561,785.56/774.72
  6. Step 6: Final answer
    x = 725.15

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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.