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Finding the Fourth Proportional to 774.78, 1,161.18 and 481.38

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Solution

The fourth proportional to 774.78, 1,161.18 and 481.38 is: 721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.78 : 1,161.18 = 481.38 : x
  2. Step 2: Convert to fraction form
    774.78/1,161.18 = 481.38/x
  3. Step 3: Cross multiply
    774.78x = 1,161.18 × 481.38
  4. Step 4: Simplify right side
    774.78x = 558,968.83
  5. Step 5: Solve for x
    x = 558,968.83/774.78
  6. Step 6: Final answer
    x = 721.45

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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.