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Finding the Fourth Proportional to 1,161.49, 1,740.20 and 967.73

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Solution

The fourth proportional to 1,161.49, 1,740.20 and 967.73 is: 1,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.49 : 1,740.20 = 967.73 : x
  2. Step 2: Convert to fraction form
    1,161.49/1,740.20 = 967.73/x
  3. Step 3: Cross multiply
    1,161.49x = 1,740.20 × 967.73
  4. Step 4: Simplify right side
    1,161.49x = 1,684,043.75
  5. Step 5: Solve for x
    x = 1,684,043.75/1,161.49
  6. Step 6: Final answer
    x = 1,449.91

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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.