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Finding the Fourth Proportional to 1,329.06, 1,993.42 and 355.23

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Solution

The fourth proportional to 1,329.06, 1,993.42 and 355.23 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.06 : 1,993.42 = 355.23 : x
  2. Step 2: Convert to fraction form
    1,329.06/1,993.42 = 355.23/x
  3. Step 3: Cross multiply
    1,329.06x = 1,993.42 × 355.23
  4. Step 4: Simplify right side
    1,329.06x = 708,122.59
  5. Step 5: Solve for x
    x = 708,122.59/1,329.06
  6. Step 6: Final answer
    x = 532.80

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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.