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Finding the Fourth Proportional to 1,338.70, 2,007.89 and 364.57

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Solution

The fourth proportional to 1,338.70, 2,007.89 and 364.57 is: 546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.70 : 2,007.89 = 364.57 : x
  2. Step 2: Convert to fraction form
    1,338.70/2,007.89 = 364.57/x
  3. Step 3: Cross multiply
    1,338.70x = 2,007.89 × 364.57
  4. Step 4: Simplify right side
    1,338.70x = 732,016.46
  5. Step 5: Solve for x
    x = 732,016.46/1,338.70
  6. Step 6: Final answer
    x = 546.81

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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.