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Finding the Fourth Proportional to 1,180.89, 1,629.56 and 649.67

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Solution

The fourth proportional to 1,180.89, 1,629.56 and 649.67 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.89 : 1,629.56 = 649.67 : x
  2. Step 2: Convert to fraction form
    1,180.89/1,629.56 = 649.67/x
  3. Step 3: Cross multiply
    1,180.89x = 1,629.56 × 649.67
  4. Step 4: Simplify right side
    1,180.89x = 1,058,676.25
  5. Step 5: Solve for x
    x = 1,058,676.25/1,180.89
  6. Step 6: Final answer
    x = 896.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.