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Finding the Fourth Proportional to 1,151.90, 1,728.71 and 449.22

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Solution

The fourth proportional to 1,151.90, 1,728.71 and 449.22 is: 674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.90 : 1,728.71 = 449.22 : x
  2. Step 2: Convert to fraction form
    1,151.90/1,728.71 = 449.22/x
  3. Step 3: Cross multiply
    1,151.90x = 1,728.71 × 449.22
  4. Step 4: Simplify right side
    1,151.90x = 776,571.11
  5. Step 5: Solve for x
    x = 776,571.11/1,151.90
  6. Step 6: Final answer
    x = 674.17

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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.