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Finding the Fourth Proportional to 774.06, 1,161.36 and 408.66

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Solution

The fourth proportional to 774.06, 1,161.36 and 408.66 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,161.36 = 408.66 : x
  2. Step 2: Convert to fraction form
    774.06/1,161.36 = 408.66/x
  3. Step 3: Cross multiply
    774.06x = 1,161.36 × 408.66
  4. Step 4: Simplify right side
    774.06x = 474,601.38
  5. Step 5: Solve for x
    x = 474,601.38/774.06
  6. Step 6: Final answer
    x = 613.13

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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.