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Finding the Fourth Proportional to 776.36, 1,163.15 and 410.33

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Solution

The fourth proportional to 776.36, 1,163.15 and 410.33 is: 614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.36 : 1,163.15 = 410.33 : x
  2. Step 2: Convert to fraction form
    776.36/1,163.15 = 410.33/x
  3. Step 3: Cross multiply
    776.36x = 1,163.15 × 410.33
  4. Step 4: Simplify right side
    776.36x = 477,275.34
  5. Step 5: Solve for x
    x = 477,275.34/776.36
  6. Step 6: Final answer
    x = 614.76

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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.