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Finding the Fourth Proportional to 776.07, 1,163.44 and 486.90

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Solution

The fourth proportional to 776.07, 1,163.44 and 486.90 is: 729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.07 : 1,163.44 = 486.90 : x
  2. Step 2: Convert to fraction form
    776.07/1,163.44 = 486.90/x
  3. Step 3: Cross multiply
    776.07x = 1,163.44 × 486.90
  4. Step 4: Simplify right side
    776.07x = 566,478.94
  5. Step 5: Solve for x
    x = 566,478.94/776.07
  6. Step 6: Final answer
    x = 729.93

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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.