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Finding the Fourth Proportional to 776.23, 1,163.98 and 451.69

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Solution

The fourth proportional to 776.23, 1,163.98 and 451.69 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.23 : 1,163.98 = 451.69 : x
  2. Step 2: Convert to fraction form
    776.23/1,163.98 = 451.69/x
  3. Step 3: Cross multiply
    776.23x = 1,163.98 × 451.69
  4. Step 4: Simplify right side
    776.23x = 525,758.13
  5. Step 5: Solve for x
    x = 525,758.13/776.23
  6. Step 6: Final answer
    x = 677.32

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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.