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Finding the Fourth Proportional to 1,674.57, 2,511.78 and 797.49

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Solution

The fourth proportional to 1,674.57, 2,511.78 and 797.49 is: 1,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.57 : 2,511.78 = 797.49 : x
  2. Step 2: Convert to fraction form
    1,674.57/2,511.78 = 797.49/x
  3. Step 3: Cross multiply
    1,674.57x = 2,511.78 × 797.49
  4. Step 4: Simplify right side
    1,674.57x = 2,003,119.43
  5. Step 5: Solve for x
    x = 2,003,119.43/1,674.57
  6. Step 6: Final answer
    x = 1,196.20

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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.