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Finding the Fourth Proportional to 1,367.69, 2,051.33 and 393.66

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Solution

The fourth proportional to 1,367.69, 2,051.33 and 393.66 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.69 : 2,051.33 = 393.66 : x
  2. Step 2: Convert to fraction form
    1,367.69/2,051.33 = 393.66/x
  3. Step 3: Cross multiply
    1,367.69x = 2,051.33 × 393.66
  4. Step 4: Simplify right side
    1,367.69x = 807,524.60
  5. Step 5: Solve for x
    x = 807,524.60/1,367.69
  6. Step 6: Final answer
    x = 590.43

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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.