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Finding the Fourth Proportional to 1,286.33, 1,775.16 and 726.81

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Solution

The fourth proportional to 1,286.33, 1,775.16 and 726.81 is: 1,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.33 : 1,775.16 = 726.81 : x
  2. Step 2: Convert to fraction form
    1,286.33/1,775.16 = 726.81/x
  3. Step 3: Cross multiply
    1,286.33x = 1,775.16 × 726.81
  4. Step 4: Simplify right side
    1,286.33x = 1,290,197.38
  5. Step 5: Solve for x
    x = 1,290,197.38/1,286.33
  6. Step 6: Final answer
    x = 1,003.01

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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.