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Finding the Fourth Proportional to 1,217.05, 1,823.25 and 804.97

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Solution

The fourth proportional to 1,217.05, 1,823.25 and 804.97 is: 1,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.05 : 1,823.25 = 804.97 : x
  2. Step 2: Convert to fraction form
    1,217.05/1,823.25 = 804.97/x
  3. Step 3: Cross multiply
    1,217.05x = 1,823.25 × 804.97
  4. Step 4: Simplify right side
    1,217.05x = 1,467,661.55
  5. Step 5: Solve for x
    x = 1,467,661.55/1,217.05
  6. Step 6: Final answer
    x = 1,205.92

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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.