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Finding the Fourth Proportional to 1,845.25, 2,766.25 and 691.81

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Solution

The fourth proportional to 1,845.25, 2,766.25 and 691.81 is: 1,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.25 : 2,766.25 = 691.81 : x
  2. Step 2: Convert to fraction form
    1,845.25/2,766.25 = 691.81/x
  3. Step 3: Cross multiply
    1,845.25x = 2,766.25 × 691.81
  4. Step 4: Simplify right side
    1,845.25x = 1,913,713.36
  5. Step 5: Solve for x
    x = 1,913,713.36/1,845.25
  6. Step 6: Final answer
    x = 1,037.10

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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.