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Finding the Fourth Proportional to 1,367.77, 2,051.84 and 443.11

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Solution

The fourth proportional to 1,367.77, 2,051.84 and 443.11 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.77 : 2,051.84 = 443.11 : x
  2. Step 2: Convert to fraction form
    1,367.77/2,051.84 = 443.11/x
  3. Step 3: Cross multiply
    1,367.77x = 2,051.84 × 443.11
  4. Step 4: Simplify right side
    1,367.77x = 909,186.80
  5. Step 5: Solve for x
    x = 909,186.80/1,367.77
  6. Step 6: Final answer
    x = 664.72

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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.