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Finding the Fourth Proportional to 1,169.43, 1,754.07 and 438.95

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Solution

The fourth proportional to 1,169.43, 1,754.07 and 438.95 is: 658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.43 : 1,754.07 = 438.95 : x
  2. Step 2: Convert to fraction form
    1,169.43/1,754.07 = 438.95/x
  3. Step 3: Cross multiply
    1,169.43x = 1,754.07 × 438.95
  4. Step 4: Simplify right side
    1,169.43x = 769,949.03
  5. Step 5: Solve for x
    x = 769,949.03/1,169.43
  6. Step 6: Final answer
    x = 658.40

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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.