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Finding the Fourth Proportional to 774.88, 1,161.60 and 409.36

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Solution

The fourth proportional to 774.88, 1,161.60 and 409.36 is: 613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.88 : 1,161.60 = 409.36 : x
  2. Step 2: Convert to fraction form
    774.88/1,161.60 = 409.36/x
  3. Step 3: Cross multiply
    774.88x = 1,161.60 × 409.36
  4. Step 4: Simplify right side
    774.88x = 475,512.58
  5. Step 5: Solve for x
    x = 475,512.58/774.88
  6. Step 6: Final answer
    x = 613.66

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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.