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Finding the Fourth Proportional to 1,151.56, 1,723.24 and 998.02

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Solution

The fourth proportional to 1,151.56, 1,723.24 and 998.02 is: 1,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.56 : 1,723.24 = 998.02 : x
  2. Step 2: Convert to fraction form
    1,151.56/1,723.24 = 998.02/x
  3. Step 3: Cross multiply
    1,151.56x = 1,723.24 × 998.02
  4. Step 4: Simplify right side
    1,151.56x = 1,719,827.98
  5. Step 5: Solve for x
    x = 1,719,827.98/1,151.56
  6. Step 6: Final answer
    x = 1,493.48

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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.