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Finding the Fourth Proportional to 1,180.40, 1,628.25 and 737.54

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Solution

The fourth proportional to 1,180.40, 1,628.25 and 737.54 is: 1,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.40 : 1,628.25 = 737.54 : x
  2. Step 2: Convert to fraction form
    1,180.40/1,628.25 = 737.54/x
  3. Step 3: Cross multiply
    1,180.40x = 1,628.25 × 737.54
  4. Step 4: Simplify right side
    1,180.40x = 1,200,891.36
  5. Step 5: Solve for x
    x = 1,200,891.36/1,180.40
  6. Step 6: Final answer
    x = 1,017.36

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1.5x scale

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.