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Finding the Fourth Proportional to 1,782.09, 2,673.54 and 549.47

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Solution

The fourth proportional to 1,782.09, 2,673.54 and 549.47 is: 824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.09 : 2,673.54 = 549.47 : x
  2. Step 2: Convert to fraction form
    1,782.09/2,673.54 = 549.47/x
  3. Step 3: Cross multiply
    1,782.09x = 2,673.54 × 549.47
  4. Step 4: Simplify right side
    1,782.09x = 1,469,023.34
  5. Step 5: Solve for x
    x = 1,469,023.34/1,782.09
  6. Step 6: Final answer
    x = 824.33

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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.