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Finding the Fourth Proportional to 1,469.78, 2,205.23 and 885.18

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Solution

The fourth proportional to 1,469.78, 2,205.23 and 885.18 is: 1,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.78 : 2,205.23 = 885.18 : x
  2. Step 2: Convert to fraction form
    1,469.78/2,205.23 = 885.18/x
  3. Step 3: Cross multiply
    1,469.78x = 2,205.23 × 885.18
  4. Step 4: Simplify right side
    1,469.78x = 1,952,021.07
  5. Step 5: Solve for x
    x = 1,952,021.07/1,469.78
  6. Step 6: Final answer
    x = 1,328.11

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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.