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Finding the Fourth Proportional to 1,329, 1,993.39 and 463.31

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Solution

The fourth proportional to 1,329, 1,993.39 and 463.31 is: 694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329 : 1,993.39 = 463.31 : x
  2. Step 2: Convert to fraction form
    1,329/1,993.39 = 463.31/x
  3. Step 3: Cross multiply
    1,329x = 1,993.39 × 463.31
  4. Step 4: Simplify right side
    1,329x = 923,557.52
  5. Step 5: Solve for x
    x = 923,557.52/1,329
  6. Step 6: Final answer
    x = 694.93

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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.