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Finding the Fourth Proportional to 1,286.25, 1,775.07 and 844.17

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Solution

The fourth proportional to 1,286.25, 1,775.07 and 844.17 is: 1,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.25 : 1,775.07 = 844.17 : x
  2. Step 2: Convert to fraction form
    1,286.25/1,775.07 = 844.17/x
  3. Step 3: Cross multiply
    1,286.25x = 1,775.07 × 844.17
  4. Step 4: Simplify right side
    1,286.25x = 1,498,460.84
  5. Step 5: Solve for x
    x = 1,498,460.84/1,286.25
  6. Step 6: Final answer
    x = 1,164.98

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Half scale
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Double scale
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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.