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Finding the Fourth Proportional to 1,286.64, 1,775.99 and 914.70

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Solution

The fourth proportional to 1,286.64, 1,775.99 and 914.70 is: 1,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.64 : 1,775.99 = 914.70 : x
  2. Step 2: Convert to fraction form
    1,286.64/1,775.99 = 914.70/x
  3. Step 3: Cross multiply
    1,286.64x = 1,775.99 × 914.70
  4. Step 4: Simplify right side
    1,286.64x = 1,624,498.05
  5. Step 5: Solve for x
    x = 1,624,498.05/1,286.64
  6. Step 6: Final answer
    x = 1,262.59

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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.