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Finding the Fourth Proportional to 1,151.44, 1,728.24 and 604.04

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Solution

The fourth proportional to 1,151.44, 1,728.24 and 604.04 is: 906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.44 : 1,728.24 = 604.04 : x
  2. Step 2: Convert to fraction form
    1,151.44/1,728.24 = 604.04/x
  3. Step 3: Cross multiply
    1,151.44x = 1,728.24 × 604.04
  4. Step 4: Simplify right side
    1,151.44x = 1,043,926.09
  5. Step 5: Solve for x
    x = 1,043,926.09/1,151.44
  6. Step 6: Final answer
    x = 906.63

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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.