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Finding the Fourth Proportional to 1,329.85, 1,993.41 and 1,148.07

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Solution

The fourth proportional to 1,329.85, 1,993.41 and 1,148.07 is: 1,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.85 : 1,993.41 = 1,148.07 : x
  2. Step 2: Convert to fraction form
    1,329.85/1,993.41 = 1,148.07/x
  3. Step 3: Cross multiply
    1,329.85x = 1,993.41 × 1,148.07
  4. Step 4: Simplify right side
    1,329.85x = 2,288,581.69
  5. Step 5: Solve for x
    x = 2,288,581.69/1,329.85
  6. Step 6: Final answer
    x = 1,720.93

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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.