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Finding the Fourth Proportional to 776, 1,163.46 and 556.62

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Solution

The fourth proportional to 776, 1,163.46 and 556.62 is: 834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,163.46 = 556.62 : x
  2. Step 2: Convert to fraction form
    776/1,163.46 = 556.62/x
  3. Step 3: Cross multiply
    776x = 1,163.46 × 556.62
  4. Step 4: Simplify right side
    776x = 647,605.11
  5. Step 5: Solve for x
    x = 647,605.11/776
  6. Step 6: Final answer
    x = 834.54

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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.