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Finding the Fourth Proportional to 1,367.80, 2,052.06 and 393.88

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Solution

The fourth proportional to 1,367.80, 2,052.06 and 393.88 is: 590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.80 : 2,052.06 = 393.88 : x
  2. Step 2: Convert to fraction form
    1,367.80/2,052.06 = 393.88/x
  3. Step 3: Cross multiply
    1,367.80x = 2,052.06 × 393.88
  4. Step 4: Simplify right side
    1,367.80x = 808,265.39
  5. Step 5: Solve for x
    x = 808,265.39/1,367.80
  6. Step 6: Final answer
    x = 590.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.