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Finding the Fourth Proportional to 776.17, 1,161.82 and 410.05

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Solution

The fourth proportional to 776.17, 1,161.82 and 410.05 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.17 : 1,161.82 = 410.05 : x
  2. Step 2: Convert to fraction form
    776.17/1,161.82 = 410.05/x
  3. Step 3: Cross multiply
    776.17x = 1,161.82 × 410.05
  4. Step 4: Simplify right side
    776.17x = 476,404.29
  5. Step 5: Solve for x
    x = 476,404.29/776.17
  6. Step 6: Final answer
    x = 613.79

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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.