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Finding the Fourth Proportional to 776.28, 1,163.06 and 410.27

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Solution

The fourth proportional to 776.28, 1,163.06 and 410.27 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.28 : 1,163.06 = 410.27 : x
  2. Step 2: Convert to fraction form
    776.28/1,163.06 = 410.27/x
  3. Step 3: Cross multiply
    776.28x = 1,163.06 × 410.27
  4. Step 4: Simplify right side
    776.28x = 477,168.63
  5. Step 5: Solve for x
    x = 477,168.63/776.28
  6. Step 6: Final answer
    x = 614.69

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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.