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Finding the Fourth Proportional to 1,151.62, 1,728.23 and 892.21

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Solution

The fourth proportional to 1,151.62, 1,728.23 and 892.21 is: 1,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.62 : 1,728.23 = 892.21 : x
  2. Step 2: Convert to fraction form
    1,151.62/1,728.23 = 892.21/x
  3. Step 3: Cross multiply
    1,151.62x = 1,728.23 × 892.21
  4. Step 4: Simplify right side
    1,151.62x = 1,541,944.09
  5. Step 5: Solve for x
    x = 1,541,944.09/1,151.62
  6. Step 6: Final answer
    x = 1,338.93

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1.5x scale

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.