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Finding the Fourth Proportional to 774.83, 1,161.94 and 281.11

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Solution

The fourth proportional to 774.83, 1,161.94 and 281.11 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.83 : 1,161.94 = 281.11 : x
  2. Step 2: Convert to fraction form
    774.83/1,161.94 = 281.11/x
  3. Step 3: Cross multiply
    774.83x = 1,161.94 × 281.11
  4. Step 4: Simplify right side
    774.83x = 326,625.74
  5. Step 5: Solve for x
    x = 326,625.74/774.83
  6. Step 6: Final answer
    x = 421.55

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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.