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Finding the Fourth Proportional to 1,181.25, 1,772.31 and 487.97

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Solution

The fourth proportional to 1,181.25, 1,772.31 and 487.97 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.25 : 1,772.31 = 487.97 : x
  2. Step 2: Convert to fraction form
    1,181.25/1,772.31 = 487.97/x
  3. Step 3: Cross multiply
    1,181.25x = 1,772.31 × 487.97
  4. Step 4: Simplify right side
    1,181.25x = 864,834.11
  5. Step 5: Solve for x
    x = 864,834.11/1,181.25
  6. Step 6: Final answer
    x = 732.13

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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.