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Finding the Fourth Proportional to 1,286.90, 1,775.90 and 697.43

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Solution

The fourth proportional to 1,286.90, 1,775.90 and 697.43 is: 962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.90 : 1,775.90 = 697.43 : x
  2. Step 2: Convert to fraction form
    1,286.90/1,775.90 = 697.43/x
  3. Step 3: Cross multiply
    1,286.90x = 1,775.90 × 697.43
  4. Step 4: Simplify right side
    1,286.90x = 1,238,553.57
  5. Step 5: Solve for x
    x = 1,238,553.57/1,286.90
  6. Step 6: Final answer
    x = 962.44

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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.