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Finding the Fourth Proportional to 1,180.10, 1,629.10 and 738.66

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Solution

The fourth proportional to 1,180.10, 1,629.10 and 738.66 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.10 : 1,629.10 = 738.66 : x
  2. Step 2: Convert to fraction form
    1,180.10/1,629.10 = 738.66/x
  3. Step 3: Cross multiply
    1,180.10x = 1,629.10 × 738.66
  4. Step 4: Simplify right side
    1,180.10x = 1,203,351.01
  5. Step 5: Solve for x
    x = 1,203,351.01/1,180.10
  6. Step 6: Final answer
    x = 1,019.70

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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.