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Finding the Fourth Proportional to 1,325.49, 1,995.17 and 1,198.25

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Solution

The fourth proportional to 1,325.49, 1,995.17 and 1,198.25 is: 1,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.49 : 1,995.17 = 1,198.25 : x
  2. Step 2: Convert to fraction form
    1,325.49/1,995.17 = 1,198.25/x
  3. Step 3: Cross multiply
    1,325.49x = 1,995.17 × 1,198.25
  4. Step 4: Simplify right side
    1,325.49x = 2,390,696.49
  5. Step 5: Solve for x
    x = 2,390,696.49/1,325.49
  6. Step 6: Final answer
    x = 1,803.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.