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Finding the Fourth Proportional to 1,151.61, 1,725.79 and 863.25

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Solution

The fourth proportional to 1,151.61, 1,725.79 and 863.25 is: 1,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.61 : 1,725.79 = 863.25 : x
  2. Step 2: Convert to fraction form
    1,151.61/1,725.79 = 863.25/x
  3. Step 3: Cross multiply
    1,151.61x = 1,725.79 × 863.25
  4. Step 4: Simplify right side
    1,151.61x = 1,489,788.22
  5. Step 5: Solve for x
    x = 1,489,788.22/1,151.61
  6. Step 6: Final answer
    x = 1,293.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.